257497957 has 4 divisors (see below), whose sum is σ = 257532556. Its totient is φ = 257463360.

The previous prime is 257497927. The next prime is 257497969. The reversal of 257497957 is 759794752.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 96943716 + 160554241 = 9846^2 + 12671^2 .

It is a cyclic number.

It is not a de Polignac number, because 257497957 - 2²⁷ = 123280229 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257497898 and 257497907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257497927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1044 + ... + 22717.

It is an arithmetic number, because the mean of its divisors is an integer number (64383139).

Almost surely, 2^257497957 is an apocalyptic number.

It is an amenable number.

257497957 is a deficient number, since it is larger than the sum of its proper divisors (34599).

257497957 is a wasteful number, since it uses less digits than its factorization.

257497957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34598.

The product of its digits is 5556600, while the sum is 55.

The square root of 257497957 is about 16046.7428782292. The cubic root of 257497957 is about 636.1964809990.

The spelling of 257497957 in words is "two hundred fifty-seven million, four hundred ninety-seven thousand, nine hundred fifty-seven".