115956 has 18 divisors (see below), whose sum is σ = 293202. Its totient is φ = 38640.

The previous prime is 115933. The next prime is 115963. The reversal of 115956 is 659511.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 7056 = 330^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a plaindrome in base 15.

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 115956.

It is an unprimeable number.

115956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1575 + ... + 1646.

It is an arithmetic number, because the mean of its divisors is an integer number (16289).

2¹¹⁵⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

115956 is an abundant number, since it is smaller than the sum of its proper divisors (177246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115956 is a wasteful number, since it uses less digits than its factorization.

115956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3226 counting only the distinct ones).

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

The square root of 115956 is about 340.5231269679. The cubic root of 115956 is about 48.7638225104.

The spelling of 115956 in words is "one hundred fifteen thousand, nine hundred fifty-six".