112957 has 4 divisors (see below), whose sum is σ = 121660. Its totient is φ = 104256.

The previous prime is 112951. The next prime is 112967. The reversal of 112957 is 759211.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 759211 = 307 ⋅2473.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 52441 = 246^2 + 229^2 .

It is a cyclic number.

It is not a de Polignac number, because 112957 - 2¹¹ = 110909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4332 + ... + 4357.

It is an arithmetic number, because the mean of its divisors is an integer number (30415).

2¹¹²⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

112957 is a deficient number, since it is larger than the sum of its proper divisors (8703).

112957 is an equidigital number, since it uses as much as digits as its factorization.

112957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8702.

The product of its digits is 630, while the sum is 25.

The square root of 112957 is about 336.0907615511. The cubic root of 112957 is about 48.3397481247.

The spelling of 112957 in words is "one hundred twelve thousand, nine hundred fifty-seven".