253188 has 36 divisors (see below), whose sum is σ = 690508. Its totient is φ = 77760.

The previous prime is 253159. The next prime is 253229. The reversal of 253188 is 881352.

It is a happy number.

253188 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 186624 = 258^2 + 432^2 .

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

It is an unprimeable number.

253188 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, 198 + ... + 738.

2²⁵³¹⁸⁸ 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 253188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345254).

253188 is an abundant number, since it is smaller than the sum of its proper divisors (437320).

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

253188 is a wasteful number, since it uses less digits than its factorization.

253188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 559 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 253188 is about 503.1779009456. The cubic root of 253188 is about 63.2626974878.

It can be divided in two parts, 253 and 188, that added together give a square (441 = 21²).

The spelling of 253188 in words is "two hundred fifty-three thousand, one hundred eighty-eight".