165597 has 12 divisors (see below), whose sum is σ = 235776. Its totient is φ = 103360.

The previous prime is 165589. The next prime is 165601. The reversal of 165597 is 795561.

It is not a de Polignac number, because 165597 - 2³ = 165589 is a prime.

165597 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 772 + ... + 962.

It is an arithmetic number, because the mean of its divisors is an integer number (19648).

2¹⁶⁵⁵⁹⁷ is an apocalyptic number.

165597 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

165597 is a deficient number, since it is larger than the sum of its proper divisors (70179).

165597 is a wasteful number, since it uses less digits than its factorization.

165597 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

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

The square root of 165597 is about 406.9361129219. The cubic root of 165597 is about 54.9141359944.

The spelling of 165597 in words is "one hundred sixty-five thousand, five hundred ninety-seven".