116565 has 16 divisors (see below), whose sum is σ = 196800. Its totient is φ = 58752.

The previous prime is 116549. The next prime is 116579. The reversal of 116565 is 565611.

It is not a de Polignac number, because 116565 - 2⁴ = 116549 is a prime.

116565 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (12300).

116565 is a Friedman number, since it can be written as 15*(6^(6-1)-5), using all its digits and the basic arithmetic operations.

2¹¹⁶⁵⁶⁵ is an apocalyptic number.

116565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116565 is a deficient number, since it is larger than the sum of its proper divisors (80235).

116565 is a wasteful number, since it uses less digits than its factorization.

116565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436.

The product of its digits is 900, while the sum is 24.

The square root of 116565 is about 341.4161683342. The cubic root of 116565 is about 48.8490425631.

The spelling of 116565 in words is "one hundred sixteen thousand, five hundred sixty-five".