257238 has 24 divisors (see below), whose sum is σ = 576576. Its totient is φ = 82800.

The previous prime is 257221. The next prime is 257239. The reversal of 257238 is 832752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328 + ... + 788.

It is an arithmetic number, because the mean of its divisors is an integer number (24024).

257238 is a Friedman number, since it can be written as ((7*5)^3-2)*(8-2), using all its digits and the basic arithmetic operations.

2²⁵⁷²³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288288).

257238 is an abundant number, since it is smaller than the sum of its proper divisors (319338).

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

257238 is a wasteful number, since it uses less digits than its factorization.

257238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 257238 is about 507.1863562834. The cubic root of 257238 is about 63.5982318246.

The spelling of 257238 in words is "two hundred fifty-seven thousand, two hundred thirty-eight".