113257 has 4 divisors (see below), whose sum is σ = 116356. Its totient is φ = 110160.

The previous prime is 113233. The next prime is 113279. The reversal of 113257 is 752311.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 752311 = 7 ⋅107473.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 8281 = 324^2 + 91^2 .

It is a cyclic number.

It is not a de Polignac number, because 113257 - 2¹⁵ = 80489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1494 + ... + 1567.

It is an arithmetic number, because the mean of its divisors is an integer number (29089).

2¹¹³²⁵⁷ is an apocalyptic number.

It is an amenable number.

113257 is a deficient number, since it is larger than the sum of its proper divisors (3099).

113257 is an equidigital number, since it uses as much as digits as its factorization.

113257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098.

The product of its digits is 210, while the sum is 19.

The square root of 113257 is about 336.5367736221. The cubic root of 113257 is about 48.3825051175.

Adding to 113257 its reverse (752311), we get a palindrome (865568).

The spelling of 113257 in words is "one hundred thirteen thousand, two hundred fifty-seven".