165075 has 24 divisors (see below), whose sum is σ = 285696. Its totient is φ = 84000.

The previous prime is 165059. The next prime is 165079. The reversal of 165075 is 570561.

It is not a de Polignac number, because 165075 - 2⁴ = 165059 is a prime.

165075 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (165079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2290 + ... + 2360.

It is an arithmetic number, because the mean of its divisors is an integer number (11904).

2¹⁶⁵⁰⁷⁵ is an apocalyptic number.

165075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165075 is a deficient number, since it is larger than the sum of its proper divisors (120621).

165075 is a wasteful number, since it uses less digits than its factorization.

165075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 165075 is about 406.2942283617. The cubic root of 165075 is about 54.8563745785.

Subtracting from 165075 its product of nonzero digits (1050), we obtain a square (164025 = 405²).

The spelling of 165075 in words is "one hundred sixty-five thousand, seventy-five".