312508397 has 2 divisors, whose sum is σ = 312508398. Its totient is φ = 312508396.

The previous prime is 312508349. The next prime is 312508439. The reversal of 312508397 is 793805213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250082596 + 62425801 = 15814^2 + 7901^2 .

It is a cyclic number.

It is not a de Polignac number, because 312508397 - 2¹⁴ = 312492013 is a prime.

It is a super-2 number, since 2×312508397² = 195322996391019218, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312508397.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312508597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156254198 + 156254199.

It is an arithmetic number, because the mean of its divisors is an integer number (156254199).

Almost surely, 2^312508397 is an apocalyptic number.

It is an amenable number.

312508397 is a deficient number, since it is larger than the sum of its proper divisors (1).

312508397 is an equidigital number, since it uses as much as digits as its factorization.

312508397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 312508397 is about 17677.9070310939. The cubic root of 312508397 is about 678.6104822182.

The spelling of 312508397 in words is "three hundred twelve million, five hundred eight thousand, three hundred ninety-seven".