257049 has 15 divisors (see below), whose sum is σ = 402233. Its totient is φ = 158184.

The previous prime is 257017. The next prime is 257053. The reversal of 257049 is 940752.

The square root of 257049 is 507.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 127449 + 129600 = 357^2 + 360^2 .

It is not a de Polignac number, because 257049 - 2⁵ = 257017 is a prime.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (257069) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19767 + ... + 19779.

257049 is a Friedman number, since it can be written as (7+(2+0)^5)^4/9, using all its digits and the basic arithmetic operations.

2²⁵⁷⁰⁴⁹ is an apocalyptic number.

257049 is the 507-th square number.

257049 is the 254-th centered octagonal number.

It is an amenable number.

257049 is a deficient number, since it is larger than the sum of its proper divisors (145184).

257049 is an frugal number, since it uses more digits than its factorization.

257049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The cubic root of 257049 is about 63.5826522046.

The spelling of 257049 in words is "two hundred fifty-seven thousand, forty-nine".