253164 has 36 divisors (see below), whose sum is σ = 636104. Its totient is φ = 78336.

The previous prime is 253159. The next prime is 253229. The reversal of 253164 is 461352.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 253164.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253164.

It is an unprimeable number.

253164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3432 + ... + 3504.

2²⁵³¹⁶⁴ 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 253164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318052).

253164 is an abundant number, since it is smaller than the sum of its proper divisors (382940).

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

253164 is a wasteful number, since it uses less digits than its factorization.

253164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 253164 is about 503.1540519563. The cubic root of 253164 is about 63.2606985085.

The spelling of 253164 in words is "two hundred fifty-three thousand, one hundred sixty-four".