The books I am currently using is called "Applied mathematics for bachelor students" and I have heard some people calling themself professor in applied mathematics.

But all math I have seen so far has had some practical applications. I looked up "Pure mathematics" on Wikipedia and they mentioned "Number theory", Geometry and "Mathematical analysis" among others as being fields in "Pure mathematics" but can't they also be applied to practical problems?

From my understanding Number theory has been central in developing encryption algorithms and optimizing algorithms, am I right? and geometry would probably be useful in geographical mapping, and 3d simulation right? and mathematical analysis has to be useful in a number of business and economic practices.

So my question is:

Is there any field in mathematics that is not "Applied mathematics"?