253332 has 36 divisors (see below), whose sum is σ = 663936. Its totient is φ = 81360.

The previous prime is 253321. The next prime is 253343. The reversal of 253332 is 233352.

It is an interprime number because it is at equal distance from previous prime (253321) and next prime (253343).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

253332 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 in 11 ways as a sum of consecutive naturals, for example, 1003 + ... + 1229.

2²⁵³³³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331968).

253332 is an abundant number, since it is smaller than the sum of its proper divisors (410604).

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

253332 is a wasteful number, since it uses less digits than its factorization.

253332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its digits is 540, while the sum is 18.

The square root of 253332 is about 503.3209711506. The cubic root of 253332 is about 63.2746887116.

Adding to 253332 its reverse (233352), we get a palindrome (486684).

It can be divided in two parts, 253 and 332, that added together give a palindrome (585).

The spelling of 253332 in words is "two hundred fifty-three thousand, three hundred thirty-two".