253300 has 36 divisors (see below), whose sum is σ = 585900. Its totient is φ = 94720.

The previous prime is 253273. The next prime is 253307. The reversal of 253300 is 3352.

253300 = 91² + 92² + ... + 114².

It can be written as a sum of positive squares in 6 ways, for example, as 11236 + 242064 = 106^2 + 492^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1626 + ... + 1774.

It is an arithmetic number, because the mean of its divisors is an integer number (16275).

2²⁵³³⁰⁰ is an apocalyptic number.

253300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292950).

253300 is an abundant number, since it is smaller than the sum of its proper divisors (332600).

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

253300 is a wasteful number, since it uses less digits than its factorization.

253300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 253300 is about 503.2891812865. The cubic root of 253300 is about 63.2720243880.

Adding to 253300 its reverse (3352), we get a palindrome (256652).

The spelling of 253300 in words is "two hundred fifty-three thousand, three hundred".