157257 has 12 divisors (see below), whose sum is σ = 230724. Its totient is φ = 103200.

The previous prime is 157253. The next prime is 157259. The reversal of 157257 is 752751.

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 9801 = 384^2 + 99^2 .

It is not a de Polignac number, because 157257 - 2² = 157253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 157257.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 157257.

It is not an unprimeable number, because it can be changed into a prime (157253) 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, 823 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (19227).

2¹⁵⁷²⁵⁷ is an apocalyptic number.

It is an amenable number.

157257 is a deficient number, since it is larger than the sum of its proper divisors (73467).

157257 is a wasteful number, since it uses less digits than its factorization.

157257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 277 counting only the distinct ones).

The product of its digits is 2450, while the sum is 27.

The square root of 157257 is about 396.5564272585. The cubic root of 157257 is about 53.9763270722.

It can be divided in two parts, 157 and 257, that added together give a palindrome (414).

The spelling of 157257 in words is "one hundred fifty-seven thousand, two hundred fifty-seven".