165844 has 12 divisors (see below), whose sum is σ = 331744. Its totient is φ = 71064.

The previous prime is 165833. The next prime is 165857. The reversal of 165844 is 448561.

165844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

165844 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 5923 = 165844 / (1 + 6 + 5 + 8 + 4 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2934 + ... + 2989.

2¹⁶⁵⁸⁴⁴ is an apocalyptic number.

165844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

165844 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

165844 is a wasteful number, since it uses less digits than its factorization.

165844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934 (or 5932 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 165844 is about 407.2394872799. The cubic root of 165844 is about 54.9414252436.

The spelling of 165844 in words is "one hundred sixty-five thousand, eight hundred forty-four".