253806 has 16 divisors (see below), whose sum is σ = 580224. Its totient is φ = 72504.

The previous prime is 253801. The next prime is 253811. The reversal of 253806 is 608352.

It is an interprime number because it is at equal distance from previous prime (253801) and next prime (253811).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253806.

It is not an unprimeable number, because it can be changed into a prime (253801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2980 + ... + 3063.

It is an arithmetic number, because the mean of its divisors is an integer number (36264).

2²⁵³⁸⁰⁶ is an apocalyptic number.

253806 is an abundant number, since it is smaller than the sum of its proper divisors (326418).

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

253806 is a wasteful number, since it uses less digits than its factorization.

253806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6055.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 253806 is about 503.7916235905. The cubic root of 253806 is about 63.3141277561.

The spelling of 253806 in words is "two hundred fifty-three thousand, eight hundred six".