253104 has 20 divisors (see below), whose sum is σ = 653976. Its totient is φ = 84352.

The previous prime is 253103. The next prime is 253109. The reversal of 253104 is 401352.

253104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253104.

It is not an unprimeable number, because it can be changed into a prime (253103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2589 + ... + 2684.

2²⁵³¹⁰⁴ is an apocalyptic number.

253104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253104 is an abundant number, since it is smaller than the sum of its proper divisors (400872).

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

253104 is a wasteful number, since it uses less digits than its factorization.

253104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 253104 is about 503.0944245368. The cubic root of 253104 is about 63.2557005074.

Adding to 253104 its reverse (401352), we get a palindrome (654456).

The spelling of 253104 in words is "two hundred fifty-three thousand, one hundred four".