257627117 has 16 divisors (see below), whose sum is σ = 298816128. Its totient is φ = 219785280.

The previous prime is 257627107. The next prime is 257627141. The reversal of 257627117 is 711726752.

It is not a de Polignac number, because 257627117 - 2¹⁰ = 257626093 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 (257627107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3803 + ... + 23015.

It is an arithmetic number, because the mean of its divisors is an integer number (18676008).

Almost surely, 2^257627117 is an apocalyptic number.

It is an amenable number.

257627117 is a deficient number, since it is larger than the sum of its proper divisors (41189011).

257627117 is a wasteful number, since it uses less digits than its factorization.

257627117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19300.

The product of its digits is 41160, while the sum is 38.

The square root of 257627117 is about 16050.7668664148. The cubic root of 257627117 is about 636.3028344673.

The spelling of 257627117 in words is "two hundred fifty-seven million, six hundred twenty-seven thousand, one hundred seventeen".