257957217 has 60 divisors (see below), whose sum is σ = 453326016. Its totient is φ = 145741680.

The previous prime is 257957207. The next prime is 257957239. The reversal of 257957217 is 712759752.

257957217 is a `hidden beast` number, since 2 + 5 + 79 + 572 + 1 + 7 = 666.

It is not a de Polignac number, because 257957217 - 2²² = 253762913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257957207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 408492 + ... + 409122.

Almost surely, 2^257957217 is an apocalyptic number.

257957217 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

257957217 is a deficient number, since it is larger than the sum of its proper divisors (195368799).

257957217 is a wasteful number, since it uses less digits than its factorization.

257957217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 744 counting only the distinct ones).

The product of its digits is 308700, while the sum is 45.

The square root of 257957217 is about 16061.0465723750. The cubic root of 257957217 is about 636.5744853732.

The spelling of 257957217 in words is "two hundred fifty-seven million, nine hundred fifty-seven thousand, two hundred seventeen".