313157 has 12 divisors (see below), whose sum is σ = 362340. Its totient is φ = 269568.

The previous prime is 313153. The next prime is 313163. The reversal of 313157 is 751313.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6241 + 306916 = 79^2 + 554^2 .

It is not a de Polignac number, because 313157 - 2² = 313153 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313157.

It is not an unprimeable number, because it can be changed into a prime (313151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2819 + ... + 2927.

It is an arithmetic number, because the mean of its divisors is an integer number (30195).

2³¹³¹⁵⁷ is an apocalyptic number.

It is an amenable number.

313157 is a deficient number, since it is larger than the sum of its proper divisors (49183).

313157 is a wasteful number, since it uses less digits than its factorization.

313157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its digits is 315, while the sum is 20.

The square root of 313157 is about 559.6043245008. The cubic root of 313157 is about 67.9079637227.

It can be divided in two parts, 313 and 157, that multiplied together give a triangular number (49141 = T₃₁₃).

The spelling of 313157 in words is "three hundred thirteen thousand, one hundred fifty-seven".