253302 has 32 divisors (see below), whose sum is σ = 598272. Its totient is φ = 69984.

The previous prime is 253273. The next prime is 253307. The reversal of 253302 is 203352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253307) by changing a digit.

253302 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1473 + ... + 1635.

It is an arithmetic number, because the mean of its divisors is an integer number (18696).

2²⁵³³⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299136).

253302 is an abundant number, since it is smaller than the sum of its proper divisors (344970).

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

253302 is a wasteful number, since it uses less digits than its factorization.

253302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 253302 is about 503.2911682118. The cubic root of 253302 is about 63.2721909148.

Adding to 253302 its reverse (203352), we get a palindrome (456654).

It can be divided in two parts, 253 and 302, that added together give a palindrome (555).

The spelling of 253302 in words is "two hundred fifty-three thousand, three hundred two".