268917 has 16 divisors (see below), whose sum is σ = 406080. Its totient is φ = 156800.

The previous prime is 268913. The next prime is 268921. The reversal of 268917 is 719862.

It is an interprime number because it is at equal distance from previous prime (268913) and next prime (268921).

It is a cyclic number.

It is not a de Polignac number, because 268917 - 2² = 268913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 268917.

It is not an unprimeable number, because it can be changed into a prime (268913) 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, 817 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (25380).

2²⁶⁸⁹¹⁷ is an apocalyptic number.

It is an amenable number.

268917 is a deficient number, since it is larger than the sum of its proper divisors (137163).

268917 is a wasteful number, since it uses less digits than its factorization.

268917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324.

The product of its digits is 6048, while the sum is 33.

The square root of 268917 is about 518.5720779217. The cubic root of 268917 is about 64.5465081311.

The spelling of 268917 in words is "two hundred sixty-eight thousand, nine hundred seventeen".