257606667 has 12 divisors (see below), whose sum is σ = 374383464. Its totient is φ = 170683200.

The previous prime is 257606651. The next prime is 257606669. The reversal of 257606667 is 766606752.

257606667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257606667 - 2⁴ = 257606651 is a prime.

It is a super-2 number, since 2×257606667² = 132722389765697778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257606669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86334 + ... + 89267.

It is an arithmetic number, because the mean of its divisors is an integer number (31198622).

Almost surely, 2^257606667 is an apocalyptic number.

257606667 is a deficient number, since it is larger than the sum of its proper divisors (116776797).

257606667 is a wasteful number, since it uses less digits than its factorization.

257606667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175770 (or 175767 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 257606667 is about 16050.1298125591. The cubic root of 257606667 is about 636.2859978115.

The spelling of 257606667 in words is "two hundred fifty-seven million, six hundred six thousand, six hundred sixty-seven".