257112 has 24 divisors (see below), whose sum is σ = 696540. Its totient is φ = 85680.

The previous prime is 257107. The next prime is 257123. The reversal of 257112 is 211752.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×257112² = 132213161088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1714 + ... + 1857.

2²⁵⁷¹¹² is an apocalyptic number.

It is an amenable number.

257112 is an abundant number, since it is smaller than the sum of its proper divisors (439428).

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

257112 is a wasteful number, since it uses less digits than its factorization.

257112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3576 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 257112 is about 507.0621263711. The cubic root of 257112 is about 63.5878462595.

Adding to 257112 its reverse (211752), we get a palindrome (468864).

The spelling of 257112 in words is "two hundred fifty-seven thousand, one hundred twelve".