314307 has 16 divisors (see below), whose sum is σ = 532480. Its totient is φ = 179496.

The previous prime is 314299. The next prime is 314329. The reversal of 314307 is 703413.

It is not a de Polignac number, because 314307 - 2³ = 314299 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314307.

It is not an unprimeable number, because it can be changed into a prime (314357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 643 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (33280).

2³¹⁴³⁰⁷ is an apocalyptic number.

314307 is a deficient number, since it is larger than the sum of its proper divisors (218173).

314307 is a wasteful number, since it uses less digits than its factorization.

314307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 314307 is about 560.6308946178. The cubic root of 314307 is about 67.9909878483.

The spelling of 314307 in words is "three hundred fourteen thousand, three hundred seven", and thus it is an iban number.