165825 has 36 divisors (see below), whose sum is σ = 328848. Its totient is φ = 79200.

The previous prime is 165817. The next prime is 165829. The reversal of 165825 is 528561.

165825 is a `hidden beast` number, since 1 + 658 + 2 + 5 = 666.

It is not a de Polignac number, because 165825 - 2³ = 165817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (165829) 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, 2442 + ... + 2508.

2¹⁶⁵⁸²⁵ is an apocalyptic number.

165825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165825 is a deficient number, since it is larger than the sum of its proper divisors (163023).

165825 is a wasteful number, since it uses less digits than its factorization.

165825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 86 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 165825 is about 407.2161588149. The cubic root of 165825 is about 54.9393270329.

It can be divided in two parts, 165 and 825, that added together give a triangular number (990 = T₄₄).

The spelling of 165825 in words is "one hundred sixty-five thousand, eight hundred twenty-five".