112965 has 16 divisors (see below), whose sum is σ = 191808. Its totient is φ = 56576.

The previous prime is 112951. The next prime is 112967. The reversal of 112965 is 569211.

It is not a de Polignac number, because 112965 - 2⁶ = 112901 is a prime.

It is a super-2 number, since 2×112965² = 25522182450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (11988).

2¹¹²⁹⁶⁵ is an apocalyptic number.

112965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112965 is a deficient number, since it is larger than the sum of its proper divisors (78843).

112965 is a wasteful number, since it uses less digits than its factorization.

112965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468.

The product of its digits is 540, while the sum is 24.

The square root of 112965 is about 336.1026628874. The cubic root of 112965 is about 48.3408892930.

The spelling of 112965 in words is "one hundred twelve thousand, nine hundred sixty-five".