312577121 has 2 divisors, whose sum is σ = 312577122. Its totient is φ = 312577120.

The previous prime is 312577007. The next prime is 312577129. The reversal of 312577121 is 121775213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178596496 + 133980625 = 13364^2 + 11575^2 .

It is a cyclic number.

It is not a de Polignac number, because 312577121 - 2¹⁰ = 312576097 is a prime.

It is not a weakly prime, because it can be changed into another prime (312577129) 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, 156288560 + 156288561.

It is an arithmetic number, because the mean of its divisors is an integer number (156288561).

Almost surely, 2^312577121 is an apocalyptic number.

It is an amenable number.

312577121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312577121 is an equidigital number, since it uses as much as digits as its factorization.

312577121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2940, while the sum is 29.

The square root of 312577121 is about 17679.8507063832. The cubic root of 312577121 is about 678.6602231841.

The spelling of 312577121 in words is "three hundred twelve million, five hundred seventy-seven thousand, one hundred twenty-one".