253296 has 30 divisors (see below), whose sum is σ = 709280. Its totient is φ = 84384.

The previous prime is 253273. The next prime is 253307. The reversal of 253296 is 692352.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

253296 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 5 ways as a sum of consecutive naturals, for example, 736 + ... + 1023.

2²⁵³²⁹⁶ is an apocalyptic number.

It is an amenable number.

253296 is an abundant number, since it is smaller than the sum of its proper divisors (455984).

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

253296 is a wasteful number, since it uses less digits than its factorization.

253296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1764 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 253296 is about 503.2852074123. The cubic root of 253296 is about 63.2716913317.

It can be divided in two parts, 2532 and 96, that added together give a triangular number (2628 = T₇₂).

The spelling of 253296 in words is "two hundred fifty-three thousand, two hundred ninety-six".