165504 has 32 divisors (see below), whose sum is σ = 440640. Its totient is φ = 55040.

The previous prime is 165479. The next prime is 165511. The reversal of 165504 is 405561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 14.

It is an unprimeable number.

165504 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 169 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (13770).

2¹⁶⁵⁵⁰⁴ 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 165504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320).

165504 is an abundant number, since it is smaller than the sum of its proper divisors (275136).

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

165504 is an equidigital number, since it uses as much as digits as its factorization.

165504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 165504 is about 406.8218283229. The cubic root of 165504 is about 54.9038540630.

The spelling of 165504 in words is "one hundred sixty-five thousand, five hundred four".