165184 has 28 divisors (see below), whose sum is σ = 342900. Its totient is φ = 78848.

The previous prime is 165181. The next prime is 165203. The reversal of 165184 is 481561.

It can be written as a sum of positive squares in 2 ways, for example, as 57600 + 107584 = 240^2 + 328^2 .

Its product of digits (960) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165181) by changing a digit.

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, 1812 + ... + 1900.

2¹⁶⁵¹⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171450).

165184 is an abundant number, since it is smaller than the sum of its proper divisors (177716).

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

165184 is an equidigital number, since it uses as much as digits as its factorization.

165184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 165184 is about 406.4283454682. The cubic root of 165184 is about 54.8684459183.

It can be divided in two parts, 16 and 5184, that multiplied together give a square (82944 = 288²).

The spelling of 165184 in words is "one hundred sixty-five thousand, one hundred eighty-four".