312938657 has 2 divisors, whose sum is σ = 312938658. Its totient is φ = 312938656.

The previous prime is 312938611. The next prime is 312938687. The reversal of 312938657 is 756839213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274200481 + 38738176 = 16559^2 + 6224^2 .

It is a cyclic number.

It is not a de Polignac number, because 312938657 - 2¹² = 312934561 is a prime.

It is not a weakly prime, because it can be changed into another prime (312938687) 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 as a sum of consecutive naturals, namely, 156469328 + 156469329.

It is an arithmetic number, because the mean of its divisors is an integer number (156469329).

Almost surely, 2^312938657 is an apocalyptic number.

It is an amenable number.

312938657 is a deficient number, since it is larger than the sum of its proper divisors (1).

312938657 is an equidigital number, since it uses as much as digits as its factorization.

312938657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 272160, while the sum is 44.

The square root of 312938657 is about 17690.0722723227. The cubic root of 312938657 is about 678.9217752404.

The spelling of 312938657 in words is "three hundred twelve million, nine hundred thirty-eight thousand, six hundred fifty-seven".