312086313 has 96 divisors (see below), whose sum is σ = 594397440. Its totient is φ = 153054720.

The previous prime is 312086297. The next prime is 312086317. The reversal of 312086313 is 313680213.

It is a happy number.

312086313 is a `hidden beast` number, since 3 + 1 + 20 + 8 + 631 + 3 = 666.

It is not a de Polignac number, because 312086313 - 2⁴ = 312086297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312086317) 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 95 ways as a sum of consecutive naturals, for example, 1064995 + ... + 1065287.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640).

Almost surely, 2^312086313 is an apocalyptic number.

312086313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312086313 is a deficient number, since it is larger than the sum of its proper divisors (282311127).

312086313 is a wasteful number, since it uses less digits than its factorization.

312086313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 312086313 is about 17665.9648193921. The cubic root of 312086313 is about 678.3048267750.

The spelling of 312086313 in words is "three hundred twelve million, eighty-six thousand, three hundred thirteen".