268317 has 12 divisors (see below), whose sum is σ = 443040. Its totient is φ = 153288.

The previous prime is 268297. The next prime is 268343. The reversal of 268317 is 713862.

It is not a de Polignac number, because 268317 - 2⁶ = 268253 is a prime.

268317 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2067 + ... + 2192.

It is an arithmetic number, because the mean of its divisors is an integer number (36920).

268317 is a Friedman number, since it can be written as (8^3+6)^(2*1)-7, using all its digits and the basic arithmetic operations.

2²⁶⁸³¹⁷ is an apocalyptic number.

It is an amenable number.

268317 is a deficient number, since it is larger than the sum of its proper divisors (174723).

268317 is a wasteful number, since it uses less digits than its factorization.

268317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4269 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 268317 is about 517.9932431992. The cubic root of 268317 is about 64.4984676038.

It can be divided in two parts, 268 and 317, that added together give a palindrome (585).

The spelling of 268317 in words is "two hundred sixty-eight thousand, three hundred seventeen".