165456 has 40 divisors (see below), whose sum is σ = 476160. Its totient is φ = 55008.

The previous prime is 165449. The next prime is 165457. The reversal of 165456 is 654561.

It is a happy number.

165456 is a `hidden beast` number, since 1 + 654 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (3600) is a multiple of the sum of its prime factors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (11904).

2¹⁶⁵⁴⁵⁶ is an apocalyptic number.

165456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238080).

165456 is an abundant number, since it is smaller than the sum of its proper divisors (310704).

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

165456 is a wasteful number, since it uses less digits than its factorization.

165456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 165456 is about 406.7628301603. The cubic root of 165456 is about 54.8985457526.

The spelling of 165456 in words is "one hundred sixty-five thousand, four hundred fifty-six".