253752 has 32 divisors (see below), whose sum is σ = 646800. Its totient is φ = 82944.

The previous prime is 253751. The next prime is 253763. The reversal of 253752 is 257352.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253751) 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, 2274 + ... + 2382.

2²⁵³⁷⁵² is an apocalyptic number.

It is an amenable number.

253752 is an abundant number, since it is smaller than the sum of its proper divisors (393048).

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

253752 is a wasteful number, since it uses less digits than its factorization.

253752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 253752 is about 503.7380271530. The cubic root of 253752 is about 63.3096371801.

Subtracting 253752 from its reverse (257352), we obtain a square (3600 = 60²).

The spelling of 253752 in words is "two hundred fifty-three thousand, seven hundred fifty-two".