diff --git a/package/MDAnalysis/core/groups.py b/package/MDAnalysis/core/groups.py
index c386e079ef0..f2459c9f1dd 100644
--- a/package/MDAnalysis/core/groups.py
+++ b/package/MDAnalysis/core/groups.py
@@ -419,7 +419,7 @@ def __init__(self, *args):
             ix, u = args
 
         # indices for the objects I hold
-        self._ix = np.asarray(ix, dtype=np.int64)
+        self._ix = np.asarray(ix, dtype=np.intp)
         self._u = u
         self._cache = dict()
 
diff --git a/package/MDAnalysis/core/topology.py b/package/MDAnalysis/core/topology.py
index 2c11d2f3632..2653acfb84d 100644
--- a/package/MDAnalysis/core/topology.py
+++ b/package/MDAnalysis/core/topology.py
@@ -125,12 +125,12 @@ def make_downshift_arrays(upshift, nparents):
         counter += 1
         # If parent is skipped, eg (0, 0, 2, 2, etc)
         while counter != upshift[order[x:y][0]]:
-            downshift.append(np.array([], dtype=np.int))
+            downshift.append(np.array([], dtype=np.int64))
             counter += 1
-        downshift.append(np.sort(np.array(order[x:y], copy=True, dtype=np.int)))
+        downshift.append(np.sort(np.array(order[x:y], copy=True, dtype=np.int64)))
     # Add entries for childless parents at end of range
     while counter < (nparents - 1):
-        downshift.append(np.array([], dtype=np.int))
+        downshift.append(np.array([], dtype=np.int64))
         counter += 1
     # Add None to end of array to force it to be of type Object
     # Without this, a rectangular array gets squashed into a single array
diff --git a/testsuite/MDAnalysisTests/analysis/test_psa.py b/testsuite/MDAnalysisTests/analysis/test_psa.py
index 3d4d097f10b..ddc0b8f4e71 100644
--- a/testsuite/MDAnalysisTests/analysis/test_psa.py
+++ b/testsuite/MDAnalysisTests/analysis/test_psa.py
@@ -221,7 +221,8 @@ def test_symmetry(self):
         for a given Hausdorff metric, h.'''
         forward = self.h(self.path_1, self.path_2)
         reverse = self.h(self.path_2, self.path_1)
-        self.assertEqual(forward, reverse)
+        # lower precision on 32bit
+        assert_almost_equal(forward, reverse, decimal=15)
 
     def test_hausdorff_value(self):
         '''Test that the undirected Hausdorff