257235 has 16 divisors (see below), whose sum is σ = 449280. Its totient is φ = 124640.

The previous prime is 257221. The next prime is 257239. The reversal of 257235 is 532752.

It is not a de Polignac number, because 257235 - 2⁴ = 257219 is a prime.

It is an Ulam number.

257235 is a lucky 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 15 ways as a sum of consecutive naturals, for example, 615 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (28080).

2²⁵⁷²³⁵ is an apocalyptic number.

257235 is a deficient number, since it is larger than the sum of its proper divisors (192045).

257235 is a wasteful number, since it uses less digits than its factorization.

257235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578.

The product of its digits is 2100, while the sum is 24.

The square root of 257235 is about 507.1833987819. The cubic root of 257235 is about 63.5979845886.

Adding to 257235 its reverse (532752), we get a palindrome (789987).

It can be divided in two parts, 25 and 7235, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 257235 in words is "two hundred fifty-seven thousand, two hundred thirty-five".