312115577 has 2 divisors, whose sum is σ = 312115578. Its totient is φ = 312115576.

The previous prime is 312115511. The next prime is 312115627. The reversal of 312115577 is 775511213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 294843241 + 17272336 = 17171^2 + 4156^2 .

It is a cyclic number.

It is not a de Polignac number, because 312115577 - 2¹⁰ = 312114553 is a prime.

It is a super-2 number, since 2×312115577² = 194832266812085858, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312115477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156057788 + 156057789.

It is an arithmetic number, because the mean of its divisors is an integer number (156057789).

Almost surely, 2^312115577 is an apocalyptic number.

It is an amenable number.

312115577 is a deficient number, since it is larger than the sum of its proper divisors (1).

312115577 is an equidigital number, since it uses as much as digits as its factorization.

312115577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7350, while the sum is 32.

The square root of 312115577 is about 17666.7930592963. The cubic root of 312115577 is about 678.3260274185.

The spelling of 312115577 in words is "three hundred twelve million, one hundred fifteen thousand, five hundred seventy-seven".