312592961 has 2 divisors, whose sum is σ = 312592962. Its totient is φ = 312592960.

The previous prime is 312592937. The next prime is 312592963. The reversal of 312592961 is 169295213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239661361 + 72931600 = 15481^2 + 8540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312592961 is a prime.

It is a Sophie Germain prime.

Together with 312592963, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is equal to p_16897061 and since 312592961 and 16897061 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (312592963) 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, 156296480 + 156296481.

It is an arithmetic number, because the mean of its divisors is an integer number (156296481).

Almost surely, 2^312592961 is an apocalyptic number.

It is an amenable number.

312592961 is a deficient number, since it is larger than the sum of its proper divisors (1).

312592961 is an equidigital number, since it uses as much as digits as its factorization.

312592961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29160, while the sum is 38.

The square root of 312592961 is about 17680.2986682918. The cubic root of 312592961 is about 678.6716868045.

The spelling of 312592961 in words is "three hundred twelve million, five hundred ninety-two thousand, nine hundred sixty-one".