The number 317 is an integer that follows 316 and precedes 318. It is classified as a prime number, meaning it has no positive divisors other than 1 and itself. In mathematics, prime numbers are significant because they are the building blocks of whole numbers, used in various applications including cryptography and number theory. In terms of its representation, 317 can be expressed in different numeral systems. For example, in binary, it is written as 100111101, and in Roman numerals, it is represented as CCCXVII. Additionally, 317 is often associated with various cultural references, such as area codes or specific historical events.