253617 has 16 divisors (see below), whose sum is σ = 416640. Its totient is φ = 133632.

The previous prime is 253613. The next prime is 253633. The reversal of 253617 is 716352.

It is not a de Polignac number, because 253617 - 2² = 253613 is a prime.

253617 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253617.

It is not an unprimeable number, because it can be changed into a prime (253613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2²⁵³⁶¹⁷ is an apocalyptic number.

It is an amenable number.

253617 is a deficient number, since it is larger than the sum of its proper divisors (163023).

253617 is a wasteful number, since it uses less digits than its factorization.

253617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952.

The product of its digits is 1260, while the sum is 24.

The square root of 253617 is about 503.6040111040. The cubic root of 253617 is about 63.2984079522.

Adding to 253617 its reverse (716352), we get a palindrome (969969).

The spelling of 253617 in words is "two hundred fifty-three thousand, six hundred seventeen".