253842 has 8 divisors (see below), whose sum is σ = 507696. Its totient is φ = 84612.

The previous prime is 253823. The next prime is 253853. The reversal of 253842 is 248352.

253842 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

253842 is an admirable number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253842.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21148 + ... + 21159.

It is an arithmetic number, because the mean of its divisors is an integer number (63462).

2²⁵³⁸⁴² is an apocalyptic number.

253842 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

253842 is a wasteful number, since it uses less digits than its factorization.

253842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42312.

The product of its digits is 1920, while the sum is 24.

The square root of 253842 is about 503.8273513814. The cubic root of 253842 is about 63.3171211196.

The spelling of 253842 in words is "two hundred fifty-three thousand, eight hundred forty-two".