165830 has 32 divisors (see below), whose sum is σ = 359424. Its totient is φ = 53856.

The previous prime is 165829. The next prime is 165833. The reversal of 165830 is 38561.

165830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 165796 and 165805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1559 + ... + 1661.

It is an arithmetic number, because the mean of its divisors is an integer number (11232).

2¹⁶⁵⁸³⁰ is an apocalyptic number.

165830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165830 is an abundant number, since it is smaller than the sum of its proper divisors (193594).

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

165830 is a wasteful number, since it uses less digits than its factorization.

165830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 165830 is about 407.2222980142. Note that the first 4 decimals coincide. The cubic root of 165830 is about 54.9398792092.

The spelling of 165830 in words is "one hundred sixty-five thousand, eight hundred thirty".