165882 has 8 divisors (see below), whose sum is σ = 331776. Its totient is φ = 55292.

The previous prime is 165877. The next prime is 165883. The reversal of 165882 is 288561.

It is a sphenic number, since it is the product of 3 distinct primes.

165882 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13818 + ... + 13829.

It is an arithmetic number, because the mean of its divisors is an integer number (41472).

2¹⁶⁵⁸⁸² is an apocalyptic number.

165882 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

165882 is a wasteful number, since it uses less digits than its factorization.

165882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27652.

The product of its digits is 3840, while the sum is 30.

The square root of 165882 is about 407.2861402012. The cubic root of 165882 is about 54.9456211842.

It can be divided in two parts, 165 and 882, that multiplied together give a triangular number (145530 = T₅₃₉).

The spelling of 165882 in words is "one hundred sixty-five thousand, eight hundred eighty-two".