165765 has 16 divisors (see below), whose sum is σ = 272448. Its totient is φ = 86016.

The previous prime is 165749. The next prime is 165779. The reversal of 165765 is 567561.

165765 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 165765 - 2⁴ = 165749 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (17028).

2¹⁶⁵⁷⁶⁵ is an apocalyptic number.

165765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165765 is a deficient number, since it is larger than the sum of its proper divisors (106683).

165765 is a wasteful number, since it uses less digits than its factorization.

165765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308.

The product of its digits is 6300, while the sum is 30.

The square root of 165765 is about 407.1424812028. The cubic root of 165765 is about 54.9327000521.

The spelling of 165765 in words is "one hundred sixty-five thousand, seven hundred sixty-five".