253308 has 48 divisors (see below), whose sum is σ = 685440. Its totient is φ = 72000.

The previous prime is 253307. The next prime is 253321. The reversal of 253308 is 803352.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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

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, 2458 + ... + 2558.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2²⁵³³⁰⁸ 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 253308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342720).

253308 is an abundant number, since it is smaller than the sum of its proper divisors (432132).

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

253308 is a wasteful number, since it uses less digits than its factorization.

253308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 253308 is about 503.2971289407. The cubic root of 253308 is about 63.2726904899.

It can be divided in two parts, 253 and 308, that added together give a triangular number (561 = T₃₃).

The spelling of 253308 in words is "two hundred fifty-three thousand, three hundred eight".