313657 has 4 divisors (see below), whose sum is σ = 317520. Its totient is φ = 309796.

The previous prime is 313639. The next prime is 313661. The reversal of 313657 is 756313.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 313657 - 2¹¹ = 311609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1807 + ... + 1972.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

2³¹³⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

313657 is a deficient number, since it is larger than the sum of its proper divisors (3863).

313657 is an equidigital number, since it uses as much as digits as its factorization.

313657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862.

The product of its digits is 1890, while the sum is 25.

The square root of 313657 is about 560.0508905448. The cubic root of 313657 is about 67.9440861012.

The spelling of 313657 in words is "three hundred thirteen thousand, six hundred fifty-seven".