165928 has 16 divisors (see below), whose sum is σ = 355680. Its totient is φ = 71088.

The previous prime is 165901. The next prime is 165931. The reversal of 165928 is 829561.

It is a self number, because there is not a number n which added to its sum of digits gives 165928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1426 + ... + 1537.

It is an arithmetic number, because the mean of its divisors is an integer number (22230).

165928 is a Friedman number, since it can be written as 8*((16*9)^2+5), using all its digits and the basic arithmetic operations.

2¹⁶⁵⁹²⁸ is an apocalyptic number.

It is an amenable number.

165928 is an abundant number, since it is smaller than the sum of its proper divisors (189752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165928 is a wasteful number, since it uses less digits than its factorization.

165928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2972 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 165928 is about 407.3426076413. The cubic root of 165928 is about 54.9506996235.

The spelling of 165928 in words is "one hundred sixty-five thousand, nine hundred twenty-eight".