165975 has 12 divisors (see below), whose sum is σ = 274536. Its totient is φ = 88480.

The previous prime is 165961. The next prime is 165983. The reversal of 165975 is 579561.

It is not a de Polignac number, because 165975 - 2⁸ = 165719 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (22878).

2¹⁶⁵⁹⁷⁵ is an apocalyptic number.

165975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165975 is a deficient number, since it is larger than the sum of its proper divisors (108561).

165975 is a wasteful number, since it uses less digits than its factorization.

165975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2221 counting only the distinct ones).

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

The square root of 165975 is about 407.4002945507. The cubic root of 165975 is about 54.9558874942.

The spelling of 165975 in words is "one hundred sixty-five thousand, nine hundred seventy-five".