257893931 has 2 divisors, whose sum is σ = 257893932. Its totient is φ = 257893930.

The previous prime is 257893913. The next prime is 257893949. The reversal of 257893931 is 139398752.

Together with previous prime (257893913) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (257893913) and next prime (257893949).

It is a cyclic number.

It is not a de Polignac number, because 257893931 - 2¹⁴ = 257877547 is a prime.

It is a super-2 number, since 2×257893931² = 133018559293265522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257893901) 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, 128946965 + 128946966.

It is an arithmetic number, because the mean of its divisors is an integer number (128946966).

Almost surely, 2^257893931 is an apocalyptic number.

257893931 is a deficient number, since it is larger than the sum of its proper divisors (1).

257893931 is an equidigital number, since it uses as much as digits as its factorization.

257893931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 408240, while the sum is 47.

The square root of 257893931 is about 16059.0762810319. The cubic root of 257893931 is about 636.5224230605.

The spelling of 257893931 in words is "two hundred fifty-seven million, eight hundred ninety-three thousand, nine hundred thirty-one".