257706117 has 12 divisors (see below), whose sum is σ = 386029280. Its totient is φ = 171803916.

The previous prime is 257706091. The next prime is 257706149. The reversal of 257706117 is 711607752.

It is not a de Polignac number, because 257706117 - 2⁷ = 257705989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257706167) 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 11 ways as a sum of consecutive naturals, for example, 530017 + ... + 530502.

Almost surely, 2^257706117 is an apocalyptic number.

257706117 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

257706117 is a deficient number, since it is larger than the sum of its proper divisors (128323163).

257706117 is an equidigital number, since it uses as much as digits as its factorization.

257706117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060534 (or 1060522 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 257706117 is about 16053.2276193917. The cubic root of 257706117 is about 636.3678674592.

The spelling of 257706117 in words is "two hundred fifty-seven million, seven hundred six thousand, one hundred seventeen".