253712 has 20 divisors (see below), whose sum is σ = 499596. Its totient is φ = 124800.

The previous prime is 253703. The next prime is 253717. The reversal of 253712 is 217352.

It can be written as a sum of positive squares in 2 ways, for example, as 173056 + 80656 = 416^2 + 284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253717) by changing a digit.

253712 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, 1538 + ... + 1694.

2²⁵³⁷¹² is an apocalyptic number.

It is an amenable number.

253712 is a deficient number, since it is larger than the sum of its proper divisors (245884).

253712 is a wasteful number, since it uses less digits than its factorization.

253712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 253712 is about 503.6983224113. The cubic root of 253712 is about 63.3063104168.

The spelling of 253712 in words is "two hundred fifty-three thousand, seven hundred twelve".