312273257 has 2 divisors, whose sum is σ = 312273258. Its totient is φ = 312273256.

The previous prime is 312273239. The next prime is 312273259. The reversal of 312273257 is 752372213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 236513641 + 75759616 = 15379^2 + 8704^2 .

It is a cyclic number.

It is not a de Polignac number, because 312273257 - 2⁶ = 312273193 is a prime.

Together with 312273259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312273259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156136628 + 156136629.

It is an arithmetic number, because the mean of its divisors is an integer number (156136629).

Almost surely, 2^312273257 is an apocalyptic number.

It is an amenable number.

312273257 is a deficient number, since it is larger than the sum of its proper divisors (1).

312273257 is an equidigital number, since it uses as much as digits as its factorization.

312273257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17640, while the sum is 32.

The square root of 312273257 is about 17671.2551053964. The cubic root of 312273257 is about 678.4402377189.

The spelling of 312273257 in words is "three hundred twelve million, two hundred seventy-three thousand, two hundred fifty-seven".