165824 has 14 divisors (see below), whose sum is σ = 329184. Its totient is φ = 82880.

The previous prime is 165817. The next prime is 165829. The reversal of 165824 is 428561.

It is a junction number, because it is equal to n+sod(n) for n = 165793 and 165802.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165824.

It is not an unprimeable number, because it can be changed into a prime (165829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1232 + ... + 1359.

2¹⁶⁵⁸²⁴ is an apocalyptic number.

It is an amenable number.

165824 is a deficient number, since it is larger than the sum of its proper divisors (163360).

165824 is an equidigital number, since it uses as much as digits as its factorization.

165824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2593 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 165824 is about 407.2149309640. The cubic root of 165824 is about 54.9392165964.

It can be divided in two parts, 165 and 824, that added together give a palindrome (989).

The spelling of 165824 in words is "one hundred sixty-five thousand, eight hundred twenty-four".