165846825 has 48 divisors (see below), whose sum is σ = 306111360. Its totient is φ = 88032960.

The previous prime is 165846809. The next prime is 165846893. The reversal of 165846825 is 528648561.

165846825 is a `hidden beast` number, since 1 + 6 + 584 + 68 + 2 + 5 = 666.

It is not a de Polignac number, because 165846825 - 2⁴ = 165846809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186532 + ... + 187418.

It is an arithmetic number, because the mean of its divisors is an integer number (6377320).

Almost surely, 2^165846825 is an apocalyptic number.

165846825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165846825 is a deficient number, since it is larger than the sum of its proper divisors (140264535).

165846825 is a wasteful number, since it uses less digits than its factorization.

165846825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1172 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 165846825 is about 12878.1530119812. The cubic root of 165846825 is about 549.4173720071.

It can be divided in two parts, 16584 and 6825, that added together give a square (23409 = 153²).

The spelling of 165846825 in words is "one hundred sixty-five million, eight hundred forty-six thousand, eight hundred twenty-five".