253884 has 12 divisors (see below), whose sum is σ = 592424. Its totient is φ = 84624.

The previous prime is 253879. The next prime is 253901. The reversal of 253884 is 488352.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×253884³ = 49093868051733312, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

253884 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 3 ways as a sum of consecutive naturals, for example, 10567 + ... + 10590.

2²⁵³⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

253884 is an abundant number, since it is smaller than the sum of its proper divisors (338540).

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

253884 is a wasteful number, since it uses less digits than its factorization.

253884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21164 (or 21162 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 253884 is about 503.8690306022. The cubic root of 253884 is about 63.3206130194.

The spelling of 253884 in words is "two hundred fifty-three thousand, eight hundred eighty-four".