253713 has 8 divisors (see below), whose sum is σ = 353088. Its totient is φ = 161744.

The previous prime is 253703. The next prime is 253717. The reversal of 253713 is 317352.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 253713 - 2⁵ = 253681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253713.

It is not an unprimeable number, because it can be changed into a prime (253717) 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 7 ways as a sum of consecutive naturals, for example, 1770 + ... + 1907.

It is an arithmetic number, because the mean of its divisors is an integer number (44136).

2²⁵³⁷¹³ is an apocalyptic number.

253713 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

253713 is a deficient number, since it is larger than the sum of its proper divisors (99375).

253713 is a wasteful number, since it uses less digits than its factorization.

253713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703.

The product of its digits is 630, while the sum is 21.

The square root of 253713 is about 503.6993150680. The cubic root of 253713 is about 63.3063935901.

The spelling of 253713 in words is "two hundred fifty-three thousand, seven hundred thirteen".