Using property() on classmethods

I have a class with two class methods (using the classmethod() function) for getting and setting what is essentially a static variable. I tried to use the property() function with these, but it results in an error. I was able to reproduce the error with the following in the interpreter:

class Foo(object):
    _var = 5
    @classmethod
    def getvar(cls):
        return cls._var
    @classmethod
    def setvar(cls, value):
        cls._var = value
    var = property(getvar, setvar)

I can demonstrate the class methods, but they don’t work as properties:

>>> f = Foo()
>>> f.getvar()
5
>>> f.setvar(4)
>>> f.getvar()
4
>>> f.var
Traceback (most recent call last):
  File "<stdin>", line 1, in ?
TypeError: 'classmethod' object is not callable
>>> f.var=5
Traceback (most recent call last):
  File "<stdin>", line 1, in ?
TypeError: 'classmethod' object is not callable

Is it possible to use the property() function with @classmethod decorated functions?