165828 has 24 divisors (see below), whose sum is σ = 417088. Its totient is φ = 50976.

The previous prime is 165817. The next prime is 165829. The reversal of 165828 is 828561.

It is a junction number, because it is equal to n+sod(n) for n = 165795 and 165804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165828.

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 7 ways as a sum of consecutive naturals, for example, 376 + ... + 687.

2¹⁶⁵⁸²⁸ is an apocalyptic number.

It is an amenable number.

165828 is an abundant number, since it is smaller than the sum of its proper divisors (251260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165828 is a wasteful number, since it uses less digits than its factorization.

165828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1081 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 165828 is about 407.2198423456. The cubic root of 165828 is about 54.9396583400.

The spelling of 165828 in words is "one hundred sixty-five thousand, eight hundred twenty-eight".