165795 has 16 divisors (see below), whose sum is σ = 303360. Its totient is φ = 75744.

The previous prime is 165779. The next prime is 165799. The reversal of 165795 is 597561.

165795 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165795 - 2⁴ = 165779 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165799) 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, 685 + ... + 894.

It is an arithmetic number, because the mean of its divisors is an integer number (18960).

2¹⁶⁵⁷⁹⁵ is an apocalyptic number.

165795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165795 is a deficient number, since it is larger than the sum of its proper divisors (137565).

165795 is a wasteful number, since it uses less digits than its factorization.

165795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594.

The product of its digits is 9450, while the sum is 33.

The square root of 165795 is about 407.1793216754. The cubic root of 165795 is about 54.9360137424.

The spelling of 165795 in words is "one hundred sixty-five thousand, seven hundred ninety-five".