312363361 has 12 divisors (see below), whose sum is σ = 322399980. Its totient is φ = 302630400.

The previous prime is 312363353. The next prime is 312363383. The reversal of 312363361 is 163363213.

It can be written as a sum of positive squares in 6 ways, for example, as 103734225 + 208629136 = 10185^2 + 14444^2 .

It is not a de Polignac number, because 312363361 - 2³ = 312363353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312363341) 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 11 ways as a sum of consecutive naturals, for example, 548685 + ... + 549253.

It is an arithmetic number, because the mean of its divisors is an integer number (26866665).

Almost surely, 2^312363361 is an apocalyptic number.

It is an amenable number.

312363361 is a deficient number, since it is larger than the sum of its proper divisors (10036619).

312363361 is an equidigital number, since it uses as much as digits as its factorization.

312363361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1007 counting only the distinct ones).

The product of its digits is 5832, while the sum is 28.

The square root of 312363361 is about 17673.8043725736. The cubic root of 312363361 is about 678.5054843143.

The spelling of 312363361 in words is "three hundred twelve million, three hundred sixty-three thousand, three hundred sixty-one".