165788 has 24 divisors (see below), whose sum is σ = 344064. Its totient is φ = 68400.

The previous prime is 165779. The next prime is 165799. The reversal of 165788 is 887561.

It is a happy number.

165788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 165788.

It is an unprimeable number.

165788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (14336).

2¹⁶⁵⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172032).

165788 is an abundant number, since it is smaller than the sum of its proper divisors (178276).

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

165788 is a wasteful number, since it uses less digits than its factorization.

165788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

The product of its digits is 13440, while the sum is 35.

The square root of 165788 is about 407.1707258632. The cubic root of 165788 is about 54.9352405838.

The spelling of 165788 in words is "one hundred sixty-five thousand, seven hundred eighty-eight".