116625 has 16 divisors (see below), whose sum is σ = 194688. Its totient is φ = 62000.

The previous prime is 116593. The next prime is 116639. The reversal of 116625 is 526611.

It is a happy number.

It is not a de Polignac number, because 116625 - 2⁵ = 116593 is a prime.

It is a Curzon number.

116625 is a lucky number.

It is a zygodrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 116625.

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, 220 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (12168).

116625 is a Friedman number, since it can be written as (21-6)*(6^5-1), using all its digits and the basic arithmetic operations.

2¹¹⁶⁶²⁵ is an apocalyptic number.

116625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116625 is a deficient number, since it is larger than the sum of its proper divisors (78063).

116625 is an equidigital number, since it uses as much as digits as its factorization.

116625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 116625 is about 341.5040263306. The cubic root of 116625 is about 48.8574225509.

It can be divided in two parts, 116 and 625, that added together give a triangular number (741 = T₃₈).

The spelling of 116625 in words is "one hundred sixteen thousand, six hundred twenty-five".