diff --git a/toolz/functoolz.py b/toolz/functoolz.py
index 464aa22a..efcc4a61 100644
--- a/toolz/functoolz.py
+++ b/toolz/functoolz.py
@@ -422,13 +422,7 @@ def memof(*args, **kwargs):
             cache[k] = result = func(*args, **kwargs)
             return result
 
-    try:
-        memof.__name__ = func.__name__
-    except AttributeError:
-        pass
-    memof.__doc__ = func.__doc__
-    memof.__wrapped__ = func
-    return memof
+    return _update_wrapper(memof, func)
 
 
 class Compose(object):
@@ -1055,3 +1049,31 @@ def is_arity(n, func, sigspec=None):
     """
 
 from . import _signatures as _sigs
+
+
+_assigned = (
+    '__module__',
+    '__name__',
+    '__qualname__',
+    '__doc__',
+    '__annotations__',
+)
+_updated = '__dict__',
+
+
+def _update_wrapper(wrapper, wrapped, assigned=_assigned, updated=_updated):
+    """Update the attributes of a wrapping function.
+
+    Implementation is backported from CPython 3.6
+    """
+    for attr in assigned:
+        try:
+            value = getattr(wrapped, attr)
+        except AttributeError:
+            pass
+        else:
+            setattr(wrapper, attr, value)
+    for attr in updated:
+        getattr(wrapper, attr).update(getattr(wrapped, attr, {}))
+    wrapper.__wrapped__ = wrapped
+    return wrapper
diff --git a/toolz/tests/test_functoolz.py b/toolz/tests/test_functoolz.py
index 6c7cb0ea..0562c670 100644
--- a/toolz/tests/test_functoolz.py
+++ b/toolz/tests/test_functoolz.py
@@ -158,7 +158,11 @@ def foo():
         Docstring
         """
         pass
+
     memoized_foo = memoize(foo)
+    assert memoized_foo.__name__ == foo.__name__
+    assert memoized_foo.__doc__ == foo.__doc__
+    assert memoized_foo.__module__ == foo.__module__ == __name__
     assert memoized_foo.__wrapped__ is foo