165988 has 12 divisors (see below), whose sum is σ = 307692. Its totient is φ = 78080.

The previous prime is 165983. The next prime is 166013. The reversal of 165988 is 889561.

It can be written as a sum of positive squares in 2 ways, for example, as 68644 + 97344 = 262^2 + 312^2 .

It is a super-2 number, since 2×165988² = 55104032288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165983) by changing a digit.

165988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1153 + ... + 1288.

It is an arithmetic number, because the mean of its divisors is an integer number (25641).

2¹⁶⁵⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

165988 is a deficient number, since it is larger than the sum of its proper divisors (141704).

165988 is a wasteful number, since it uses less digits than its factorization.

165988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2460 counting only the distinct ones).

The product of its digits is 17280, while the sum is 37.

The square root of 165988 is about 407.4162490623. The cubic root of 165988 is about 54.9573222643.

The spelling of 165988 in words is "one hundred sixty-five thousand, nine hundred eighty-eight".