112959 has 24 divisors (see below), whose sum is σ = 204672. Its totient is φ = 58320.

The previous prime is 112951. The next prime is 112967. The reversal of 112959 is 959211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112951) and next prime (112967).

It is not a de Polignac number, because 112959 - 2³ = 112951 is a prime.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (8528).

2¹¹²⁹⁵⁹ is an apocalyptic number.

112959 is a deficient number, since it is larger than the sum of its proper divisors (91713).

112959 is a wasteful number, since it uses less digits than its factorization.

112959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 184 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 112959 is about 336.0937369247. The cubic root of 112959 is about 48.3400334218.

The spelling of 112959 in words is "one hundred twelve thousand, nine hundred fifty-nine".