I'm an avid math student and have delved into the world of calculus, differential equations, and analysis. Now I am faced with number theory, and it looks incredibly dull to me. It seems as though it has no hold in the real world (except cryptography; every article I've seen that mentions real-world applications of math mentions cryptography as the application of number theory)! Should I think about learning it because it ties in with other branches of math? Or is it really not that necessary to understand deep connections within mathematics?

Thanks.