115965 has 16 divisors (see below), whose sum is σ = 206400. Its totient is φ = 61776.

The previous prime is 115963. The next prime is 115979. The reversal of 115965 is 569511.

It is not a de Polignac number, because 115965 - 2¹ = 115963 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

115965 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115965.

It is not an unprimeable number, because it can be changed into a prime (115963) 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 15 ways as a sum of consecutive naturals, for example, 295 + ... + 564.

It is an arithmetic number, because the mean of its divisors is an integer number (12900).

2¹¹⁵⁹⁶⁵ is an apocalyptic number.

115965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115965 is a deficient number, since it is larger than the sum of its proper divisors (90435).

115965 is an equidigital number, since it uses as much as digits as its factorization.

115965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 867 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 115965 is about 340.5363416730. The cubic root of 115965 is about 48.7650840896.

The spelling of 115965 in words is "one hundred fifteen thousand, nine hundred sixty-five".