116865 has 36 divisors (see below), whose sum is σ = 240084. Its totient is φ = 52416.

The previous prime is 116849. The next prime is 116867. The reversal of 116865 is 568611.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 53361 = 252^2 + 231^2 .

It is not a de Polignac number, because 116865 - 2⁴ = 116849 is a prime.

116865 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116867) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2179 + ... + 2231.

It is an arithmetic number, because the mean of its divisors is an integer number (6669).

2¹¹⁶⁸⁶⁵ is an apocalyptic number.

116865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116865 is an abundant number, since it is smaller than the sum of its proper divisors (123219).

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

116865 is a wasteful number, since it uses less digits than its factorization.

116865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 68 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 116865 is about 341.8552325181. The cubic root of 116865 is about 48.8909137897.

The spelling of 116865 in words is "one hundred sixteen thousand, eight hundred sixty-five".