253809 has 6 divisors (see below), whose sum is σ = 366626. Its totient is φ = 169200.

The previous prime is 253801. The next prime is 253811. The reversal of 253809 is 908352.

253809 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 23409 = 480^2 + 153^2 .

It is not a de Polignac number, because 253809 - 2³ = 253801 is a prime.

It is a Duffinian number.

253809 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253809.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14092 + ... + 14109.

2²⁵³⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

253809 is a deficient number, since it is larger than the sum of its proper divisors (112817).

253809 is a wasteful number, since it uses less digits than its factorization.

253809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28207 (or 28204 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 253809 is about 503.7946010032. The cubic root of 253809 is about 63.3143772139.

The spelling of 253809 in words is "two hundred fifty-three thousand, eight hundred nine".