253708 has 48 divisors (see below), whose sum is σ = 592704. Its totient is φ = 92160.

The previous prime is 253703. The next prime is 253717. The reversal of 253708 is 807352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253703) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6168 + ... + 6208.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

2²⁵³⁷⁰⁸ is an apocalyptic number.

253708 is a gapful number since it is divisible by the number (28) 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 253708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296352).

253708 is an abundant number, since it is smaller than the sum of its proper divisors (338996).

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

253708 is a wasteful number, since it uses less digits than its factorization.

253708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 253708 is about 503.6943517650. The cubic root of 253708 is about 63.3059777212.

It can be divided in two parts, 253 and 708, that added together give a square (961 = 31²).

The spelling of 253708 in words is "two hundred fifty-three thousand, seven hundred eight".