I would generalize it to a compiler produces some sort of artifact that is intended to later be used directly, while for an interpreter the whole mechanism(source to execution) is intended to be used directly.

The same tool can often be used to do both. trival example: a web browser. save your web page as a pdf? compiler. otherwise interpreter. but what if the code it is executing is not artisanal handcrafted js but the result of a typescript compiler?