312123257 has 2 divisors, whose sum is σ = 312123258. Its totient is φ = 312123256.

The previous prime is 312123239. The next prime is 312123311. The reversal of 312123257 is 752321213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189998656 + 122124601 = 13784^2 + 11051^2 .

It is a cyclic number.

It is not a de Polignac number, because 312123257 - 2²⁴ = 295346041 is a prime.

It is not a weakly prime, because it can be changed into another prime (312123557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156061628 + 156061629.

It is an arithmetic number, because the mean of its divisors is an integer number (156061629).

Almost surely, 2^312123257 is an apocalyptic number.

It is an amenable number.

312123257 is a deficient number, since it is larger than the sum of its proper divisors (1).

312123257 is an equidigital number, since it uses as much as digits as its factorization.

312123257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2520, while the sum is 26.

The square root of 312123257 is about 17667.0104148948. The cubic root of 312123257 is about 678.3315910639.

The spelling of 312123257 in words is "three hundred twelve million, one hundred twenty-three thousand, two hundred fifty-seven".