312989313 has 48 divisors (see below), whose sum is σ = 545602176. Its totient is φ = 157893120.

The previous prime is 312989311. The next prime is 312989323. The reversal of 312989313 is 313989213.

It is not a de Polignac number, because 312989313 - 2¹ = 312989311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312989311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40393 + ... + 47513.

It is an arithmetic number, because the mean of its divisors is an integer number (11366712).

Almost surely, 2^312989313 is an apocalyptic number.

It is an amenable number.

312989313 is a deficient number, since it is larger than the sum of its proper divisors (232612863).

312989313 is a wasteful number, since it uses less digits than its factorization.

312989313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7174 (or 7167 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 312989313 is about 17691.5039778985. The cubic root of 312989313 is about 678.9584060680.

The spelling of 312989313 in words is "three hundred twelve million, nine hundred eighty-nine thousand, three hundred thirteen".