257168 has 10 divisors (see below), whose sum is σ = 498294. Its totient is φ = 128576.

The previous prime is 257161. The next prime is 257171. The reversal of 257168 is 861752.

257168 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 183184 + 73984 = 428^2 + 272^2 .

It is a super-2 number, since 2×257168² = 132270760448, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 257168.

It is not an unprimeable number, because it can be changed into a prime (257161) by changing a digit.

257168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8021 + ... + 8052.

2²⁵⁷¹⁶⁸ is an apocalyptic number.

It is an amenable number.

257168 is a deficient number, since it is larger than the sum of its proper divisors (241126).

257168 is a wasteful number, since it uses less digits than its factorization.

257168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16081 (or 16075 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 257168 is about 507.1173434226. The cubic root of 257168 is about 63.5924624850.

The spelling of 257168 in words is "two hundred fifty-seven thousand, one hundred sixty-eight".