165204 has 36 divisors (see below), whose sum is σ = 450996. Its totient is φ = 50688.

The previous prime is 165203. The next prime is 165211. The reversal of 165204 is 402561.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44100 + 121104 = 210^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292 + ... + 644.

2¹⁶⁵²⁰⁴ 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 165204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225498).

165204 is an abundant number, since it is smaller than the sum of its proper divisors (285792).

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

165204 is a wasteful number, since it uses less digits than its factorization.

165204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 165204 is about 406.4529493066. The cubic root of 165204 is about 54.8706602664.

Adding to 165204 its reverse (402561), we get a palindrome (567765).

The spelling of 165204 in words is "one hundred sixty-five thousand, two hundred four".