312767313 has 16 divisors (see below), whose sum is σ = 427847616. Its totient is φ = 203163840.

The previous prime is 312767297. The next prime is 312767321. The reversal of 312767313 is 313767213.

It is a happy number.

It is not a de Polignac number, because 312767313 - 2⁴ = 312767297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312766313) 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 15 ways as a sum of consecutive naturals, for example, 11595 + ... + 27567.

It is an arithmetic number, because the mean of its divisors is an integer number (26740476).

Almost surely, 2^312767313 is an apocalyptic number.

It is an amenable number.

312767313 is a deficient number, since it is larger than the sum of its proper divisors (115080303).

312767313 is a wasteful number, since it uses less digits than its factorization.

312767313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16144.

The product of its digits is 15876, while the sum is 33.

The square root of 312767313 is about 17685.2286668847. The cubic root of 312767313 is about 678.7978421012.

The spelling of 312767313 in words is "three hundred twelve million, seven hundred sixty-seven thousand, three hundred thirteen".