Depending on how you look at things, functions can also be mutated at run-time. Most impure languages allow you to define a function that has some internal state and changes it whenever it is applied. In C you would use 'static' variables, but languages with closures allow for a more robust approach. Scheme textbooks are full of examples that use this trick to define counters or other objects via closures. You can well argue that these functions do not "mutate", they merely access some data that is mutated, but there is no observable difference from the perspective of the caller.