312085137 has 48 divisors (see below), whose sum is σ = 535622528. Its totient is φ = 157386240.

The previous prime is 312085073. The next prime is 312085199. The reversal of 312085137 is 731580213.

It is not a de Polignac number, because 312085137 - 2⁶ = 312085073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312085237) 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 47 ways as a sum of consecutive naturals, for example, 143337 + ... + 145497.

Almost surely, 2^312085137 is an apocalyptic number.

It is an amenable number.

312085137 is a deficient number, since it is larger than the sum of its proper divisors (223537391).

312085137 is a wasteful number, since it uses less digits than its factorization.

312085137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 312085137 is about 17665.9315350196. The cubic root of 312085137 is about 678.3039747805.

The spelling of 312085137 in words is "three hundred twelve million, eighty-five thousand, one hundred thirty-seven".