253956 has 12 divisors (see below), whose sum is σ = 592592. Its totient is φ = 84648.

The previous prime is 253951. The next prime is 253969. The reversal of 253956 is 659352.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253956.

It is not an unprimeable number, because it can be changed into a prime (253951) by changing a digit.

253956 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 3 ways as a sum of consecutive naturals, for example, 10570 + ... + 10593.

2²⁵³⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

253956 is an abundant number, since it is smaller than the sum of its proper divisors (338636).

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

253956 is a wasteful number, since it uses less digits than its factorization.

253956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21170 (or 21168 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 253956 is about 503.9404726751. The cubic root of 253956 is about 63.3265982373.

The spelling of 253956 in words is "two hundred fifty-three thousand, nine hundred fifty-six".