253352 has 16 divisors (see below), whose sum is σ = 518400. Its totient is φ = 115120.

The previous prime is 253349. The next prime is 253361.

253352 is nontrivially palindromic in base 10.

It is an unprimeable 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 in 3 ways as a sum of consecutive naturals, for example, 1352 + ... + 1527.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2²⁵³³⁵² is an apocalyptic number.

253352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253352 is an abundant number, since it is smaller than the sum of its proper divisors (265048).

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

253352 is a wasteful number, since it uses less digits than its factorization.

253352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2892 counting only the distinct ones).

The product of its digits is 900, while the sum is 20.

The square root of 253352 is about 503.3408387961. The cubic root of 253352 is about 63.2763537999.

The spelling of 253352 in words is "two hundred fifty-three thousand, three hundred fifty-two".