312937 has 2 divisors, whose sum is σ = 312938. Its totient is φ = 312936.

The previous prime is 312931. The next prime is 312941. The reversal of 312937 is 739213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 281961 + 30976 = 531^2 + 176^2 .

It is a cyclic number.

It is not a de Polignac number, because 312937 - 2³ = 312929 is a prime.

It is not a weakly prime, because it can be changed into another prime (312931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156468 + 156469.

It is an arithmetic number, because the mean of its divisors is an integer number (156469).

2³¹²⁹³⁷ is an apocalyptic number.

It is an amenable number.

312937 is a deficient number, since it is larger than the sum of its proper divisors (1).

312937 is an equidigital number, since it uses as much as digits as its factorization.

312937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 25.

The square root of 312937 is about 559.4077225066. The cubic root of 312937 is about 67.8920576949.

The spelling of 312937 in words is "three hundred twelve thousand, nine hundred thirty-seven".