257288 has 16 divisors (see below), whose sum is σ = 499500. Its totient is φ = 124096.

The previous prime is 257287. The next prime is 257293. The reversal of 257288 is 882752.

257288 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 232324 + 24964 = 482^2 + 158^2 .

It is a super-2 number, since 2×257288² = 132394229888, which contains 22 as substring.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (257281) 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, 323 + ... + 786.

2²⁵⁷²⁸⁸ is an apocalyptic number.

It is an amenable number.

257288 is a deficient number, since it is larger than the sum of its proper divisors (242212).

257288 is a wasteful number, since it uses less digits than its factorization.

257288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1140 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 257288 is about 507.2356454351. The cubic root of 257288 is about 63.6023521406.

It can be divided in two parts, 257 and 288, that added together give a palindrome (545).

The spelling of 257288 in words is "two hundred fifty-seven thousand, two hundred eighty-eight".