113857 has 4 divisors (see below), whose sum is σ = 116676. Its totient is φ = 111040.

The previous prime is 113843. The next prime is 113891. The reversal of 113857 is 758311.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 758311 = 269 ⋅2819.

It can be written as a sum of positive squares in 2 ways, for example, as 10816 + 103041 = 104^2 + 321^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113857 is a prime.

It is a Duffinian number.

113857 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (113837) 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, 1348 + ... + 1429.

It is an arithmetic number, because the mean of its divisors is an integer number (29169).

2¹¹³⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

113857 is a deficient number, since it is larger than the sum of its proper divisors (2819).

113857 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 9 representation: 113857 = (183157)₉.

113857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818.

The product of its digits is 840, while the sum is 25.

The square root of 113857 is about 337.4270291485. The cubic root of 113857 is about 48.4677931213.

The spelling of 113857 in words is "one hundred thirteen thousand, eight hundred fifty-seven".