253836 has 36 divisors (see below), whose sum is σ = 701064. Its totient is φ = 76800.

The previous prime is 253823. The next prime is 253853. The reversal of 253836 is 638352.

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

It is an unprimeable number.

253836 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, 76 + ... + 716.

It is an arithmetic number, because the mean of its divisors is an integer number (19474).

2²⁵³⁸³⁶ 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 253836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350532).

253836 is an abundant number, since it is smaller than the sum of its proper divisors (447228).

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

253836 is a wasteful number, since it uses less digits than its factorization.

253836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 657 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 253836 is about 503.8213969255. The cubic root of 253836 is about 63.3166222454.

It can be divided in two parts, 253 and 836, that added together give a square (1089 = 33²).

The spelling of 253836 in words is "two hundred fifty-three thousand, eight hundred thirty-six".