257172 has 24 divisors (see below), whose sum is σ = 621600. Its totient is φ = 82656.

The previous prime is 257171. The next prime is 257177. The reversal of 257172 is 271752.

257172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257172² = 132274875168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (25900).

2²⁵⁷¹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310800).

257172 is an abundant number, since it is smaller than the sum of its proper divisors (364428).

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

257172 is a wasteful number, since it uses less digits than its factorization.

257172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 773 counting only the distinct ones).

The product of its digits is 980, while the sum is 24.

The square root of 257172 is about 507.1212872677. The cubic root of 257172 is about 63.5927921898.

The spelling of 257172 in words is "two hundred fifty-seven thousand, one hundred seventy-two".