312641057 has 2 divisors, whose sum is σ = 312641058. Its totient is φ = 312641056.

The previous prime is 312641041. The next prime is 312641081. The reversal of 312641057 is 750146213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300814336 + 11826721 = 17344^2 + 3439^2 .

It is an emirp because it is prime and its reverse (750146213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312641057 - 2⁴ = 312641041 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312641027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156320528 + 156320529.

It is an arithmetic number, because the mean of its divisors is an integer number (156320529).

Almost surely, 2^312641057 is an apocalyptic number.

It is an amenable number.

312641057 is a deficient number, since it is larger than the sum of its proper divisors (1).

312641057 is an equidigital number, since it uses as much as digits as its factorization.

312641057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 312641057 is about 17681.6587739952. The cubic root of 312641057 is about 678.7064921516.

The spelling of 312641057 in words is "three hundred twelve million, six hundred forty-one thousand, fifty-seven".