312135937 has 2 divisors, whose sum is σ = 312135938. Its totient is φ = 312135936.

The previous prime is 312135919. The next prime is 312135947. The reversal of 312135937 is 739531213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194435136 + 117700801 = 13944^2 + 10849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312135937 is a prime.

It is not a weakly prime, because it can be changed into another prime (312135907) 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, 156067968 + 156067969.

It is an arithmetic number, because the mean of its divisors is an integer number (156067969).

Almost surely, 2^312135937 is an apocalyptic number.

It is an amenable number.

312135937 is a deficient number, since it is larger than the sum of its proper divisors (1).

312135937 is an equidigital number, since it uses as much as digits as its factorization.

312135937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17010, while the sum is 34.

The square root of 312135937 is about 17667.3692721922. The cubic root of 312135937 is about 678.3407766745.

The spelling of 312135937 in words is "three hundred twelve million, one hundred thirty-five thousand, nine hundred thirty-seven".