111965 has 12 divisors (see below), whose sum is σ = 156636. Its totient is φ = 76608.

The previous prime is 111959. The next prime is 111973. The reversal of 111965 is 569111.

It can be written as a sum of positive squares in 2 ways, for example, as 70756 + 41209 = 266^2 + 203^2 .

It is not a de Polignac number, because 111965 - 2⁴ = 111949 is a prime.

It is a super-2 number, since 2×111965² = 25072322450, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 111965.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (13053).

2¹¹¹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

111965 is a deficient number, since it is larger than the sum of its proper divisors (44671).

111965 is an equidigital number, since it uses as much as digits as its factorization.

111965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 469 counting only the distinct ones).

The product of its digits is 270, while the sum is 23.

The square root of 111965 is about 334.6117152761. The cubic root of 111965 is about 48.1978236307.

The spelling of 111965 in words is "one hundred eleven thousand, nine hundred sixty-five".