312813 has 6 divisors (see below), whose sum is σ = 451854. Its totient is φ = 208536.

The previous prime is 312799. The next prime is 312839. The reversal of 312813 is 318213.

It can be written as a sum of positive squares in only one way, i.e., 233289 + 79524 = 483^2 + 282^2 .

It is a de Polignac number, because none of the positive numbers 2^k-312813 is a prime.

It is a Curzon 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 312813.

It is not an unprimeable number, because it can be changed into a prime (312863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17370 + ... + 17387.

It is an arithmetic number, because the mean of its divisors is an integer number (75309).

2³¹²⁸¹³ is an apocalyptic number.

It is an amenable number.

312813 is a deficient number, since it is larger than the sum of its proper divisors (139041).

312813 is a wasteful number, since it uses less digits than its factorization.

312813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34763 (or 34760 counting only the distinct ones).

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

The square root of 312813 is about 559.2968800199. The cubic root of 312813 is about 67.8830891939.

The spelling of 312813 in words is "three hundred twelve thousand, eight hundred thirteen".