257296 has 20 divisors (see below), whose sum is σ = 537292. Its totient is φ = 118656.

The previous prime is 257293. The next prime is 257297. The reversal of 257296 is 692752.

257296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 144400 = 336^2 + 380^2 .

It is an Ulam number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (257293) 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, 411 + ... + 826.

2²⁵⁷²⁹⁶ is an apocalyptic number.

257296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

257296 is an abundant number, since it is smaller than the sum of its proper divisors (279996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257296 is a wasteful number, since it uses less digits than its factorization.

257296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 257296 is about 507.2435312550. The cubic root of 257296 is about 63.6030113417.

The spelling of 257296 in words is "two hundred fifty-seven thousand, two hundred ninety-six".