311690657 has 2 divisors, whose sum is σ = 311690658. Its totient is φ = 311690656.

The previous prime is 311690557. The next prime is 311690683. The reversal of 311690657 is 756096113.

311690657 is nontrivially palindromic in base 4.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177848896 + 133841761 = 13336^2 + 11569^2 .

It is a cyclic number.

It is not a de Polignac number, because 311690657 - 2¹² = 311686561 is a prime.

It is a super-2 number, since 2×311690657² = 194302131322183298, which contains 22 as substring.

It is equal to p_16850729 and since 311690657 and 16850729 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311690657.

It is not a weakly prime, because it can be changed into another prime (311690557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155845328 + 155845329.

It is an arithmetic number, because the mean of its divisors is an integer number (155845329).

Almost surely, 2^311690657 is an apocalyptic number.

It is an amenable number.

311690657 is a deficient number, since it is larger than the sum of its proper divisors (1).

311690657 is an equidigital number, since it uses as much as digits as its factorization.

311690657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 311690657 is about 17654.7630117201. The cubic root of 311690657 is about 678.0180590265.

The spelling of 311690657 in words is "three hundred eleven million, six hundred ninety thousand, six hundred fifty-seven".