diff --git a/pandas/core/base.py b/pandas/core/base.py
index 0d55fa8b97aae..5a9711391c7c8 100644
--- a/pandas/core/base.py
+++ b/pandas/core/base.py
@@ -737,11 +737,17 @@ def item(self):
     @property
     def data(self):
         """ return the data pointer of the underlying data """
+        warnings.warn("Series/Index.data is deprecated and will be "
+                      "removed in a future version",
+                      FutureWarning, stacklevel=2)
         return self.values.data
 
     @property
     def itemsize(self):
         """ return the size of the dtype of the item of the underlying data """
+        warnings.warn("Series/Index.itemsize is deprecated and will be "
+                      "removed in a future version",
+                      FutureWarning, stacklevel=2)
         return self._ndarray_values.itemsize
 
     @property
@@ -752,6 +758,9 @@ def nbytes(self):
     @property
     def strides(self):
         """ return the strides of the underlying data """
+        warnings.warn("Series/Index.strides is deprecated and will be "
+                      "removed in a future version",
+                      FutureWarning, stacklevel=2)
         return self._ndarray_values.strides
 
     @property
@@ -762,6 +771,9 @@ def size(self):
     @property
     def flags(self):
         """ return the ndarray.flags for the underlying data """
+        warnings.warn("Series/Index.flags is deprecated and will be "
+                      "removed in a future version",
+                      FutureWarning, stacklevel=2)
         return self.values.flags
 
     @property
@@ -769,6 +781,9 @@ def base(self):
         """ return the base object if the memory of the underlying data is
         shared
         """
+        warnings.warn("Series/Index.base is deprecated and will be "
+                      "removed in a future version",
+                      FutureWarning, stacklevel=2)
         return self.values.base
 
     @property
diff --git a/pandas/core/indexes/datetimelike.py b/pandas/core/indexes/datetimelike.py
index 95e1f8438c704..432c1c67cb86c 100644
--- a/pandas/core/indexes/datetimelike.py
+++ b/pandas/core/indexes/datetimelike.py
@@ -209,6 +209,16 @@ def ceil(self, freq):
 class DatetimeIndexOpsMixin(object):
     """ common ops mixin to support a unified interface datetimelike Index """
 
+    @property
+    def base(self):
+        """ return the base object if the memory of the underlying data is
+        shared
+        """
+        # override deprecated property in IndexOpsMixin, as we still need
+        # this for internals (DatetimeIndex/TimedeltaIndex is stored as
+        # values in Blocks)
+        return self.values.base
+
     def equals(self, other):
         """
         Determines if two Index objects contain the same elements.
diff --git a/pandas/tests/test_base.py b/pandas/tests/test_base.py
index c4c02c0bf6f17..9a7157dd06b25 100644
--- a/pandas/tests/test_base.py
+++ b/pandas/tests/test_base.py
@@ -22,6 +22,7 @@
 from pandas.core.base import PandasObject, NoNewAttributesMixin
 from pandas.core.indexes.datetimelike import DatetimeIndexOpsMixin
 from pandas._libs.tslib import iNaT
+import pandas.util.testing as tm
 
 
 class CheckStringMixin(object):
@@ -316,16 +317,25 @@ def test_ndarray_compat_properties(self):
 
         for o in self.objs:
             # Check that we work.
-            for p in ['shape', 'dtype', 'flags', 'T',
-                      'strides', 'itemsize', 'nbytes']:
+            for p in ['shape', 'dtype', 'T', 'nbytes']:
                 assert getattr(o, p, None) is not None
 
-            assert hasattr(o, 'base')
+            # deprecated properties
+            for p in ['flags', 'strides', 'itemsize']:
+                with tm.assert_produces_warning(FutureWarning):
+                    assert getattr(o, p, None) is not None
+
+            # not deprecated for datetime-like indices because they are used
+            # inside blocks
+            if not isinstance(o, (DatetimeIndex, TimedeltaIndex, PeriodIndex)):
+                with tm.assert_produces_warning(FutureWarning):
+                    assert hasattr(o, 'base')
 
             # If we have a datetime-like dtype then needs a view to work
             # but the user is responsible for that
             try:
-                assert o.data is not None
+                with tm.assert_produces_warning(FutureWarning):
+                    assert o.data is not None
             except ValueError:
                 pass