312831 has 6 divisors (see below), whose sum is σ = 451880. Its totient is φ = 208548.

The previous prime is 312799. The next prime is 312839. The reversal of 312831 is 138213.

312831 = 48² + 49² + ... + 101².

It is not a de Polignac number, because 312831 - 2⁵ = 312799 is a prime.

It is a super-2 number, since 2×312831² = 195726469122, which contains 22 as substring.

It is a Duffinian number.

312831 is a lucky 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 312831.

It is not an unprimeable number, because it can be changed into a prime (312839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17371 + ... + 17388.

2³¹²⁸³¹ is an apocalyptic number.

312831 is a deficient number, since it is larger than the sum of its proper divisors (139049).

312831 is a wasteful number, since it uses less digits than its factorization.

312831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34765 (or 34762 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 312831 is about 559.3129714212. The cubic root of 312831 is about 67.8843912201.

The spelling of 312831 in words is "three hundred twelve thousand, eight hundred thirty-one".