The Pythagorean Proposition, by early 20th century professor Elisha Scott Loomis, is a collection of 367 proofs of the Pythagorean Theorem.
At least 367 people have to be gathered together in order to ensure that two of them share a common birthday--but far fewer usually suffices. [Beedassy]
The largest number whose square (134689) has strictly increasing digits. [Beedassy]
The smallest prime whose digits form a scalene triangle. [Loungrides]
367 = 19084/52 is a pandigital expression. [Gaydos]