253832 has 8 divisors (see below), whose sum is σ = 475950. Its totient is φ = 126912.

The previous prime is 253823. The next prime is 253853. The reversal of 253832 is 238352.

253832 is digitally balanced in base 3, 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., 155236 + 98596 = 394^2 + 314^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 253798 and 253807.

It is an unprimeable number.

253832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15857 + ... + 15872.

2²⁵³⁸³² is an apocalyptic number.

It is an amenable number.

253832 is a deficient number, since it is larger than the sum of its proper divisors (222118).

253832 is a wasteful number, since it uses less digits than its factorization.

253832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31735 (or 31731 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 253832 is about 503.8174272492. The cubic root of 253832 is about 63.3162896582.

The spelling of 253832 in words is "two hundred fifty-three thousand, eight hundred thirty-two".