165408 has 24 divisors (see below), whose sum is σ = 434448. Its totient is φ = 55104.

The previous prime is 165397. The next prime is 165437. The reversal of 165408 is 804561.

165408 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 766 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (18102).

2¹⁶⁵⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

165408 is an abundant number, since it is smaller than the sum of its proper divisors (269040).

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

165408 is a wasteful number, since it uses less digits than its factorization.

165408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 165408 is about 406.7038234391. The cubic root of 165408 is about 54.8932364155.

Adding to 165408 its reverse (804561), we get a palindrome (969969).

The spelling of 165408 in words is "one hundred sixty-five thousand, four hundred eight".