268517 has 2 divisors, whose sum is σ = 268518. Its totient is φ = 268516.

The previous prime is 268507. The next prime is 268519. The reversal of 268517 is 715862.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261121 + 7396 = 511^2 + 86^2 .

It is a cyclic number.

It is not a de Polignac number, because 268517 - 2⁴ = 268501 is a prime.

Together with 268519, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 268517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (268519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134258 + 134259.

It is an arithmetic number, because the mean of its divisors is an integer number (134259).

2²⁶⁸⁵¹⁷ is an apocalyptic number.

It is an amenable number.

268517 is a deficient number, since it is larger than the sum of its proper divisors (1).

268517 is an equidigital number, since it uses as much as digits as its factorization.

268517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3360, while the sum is 29.

The square root of 268517 is about 518.1862599491. The cubic root of 268517 is about 64.5144890632.

The spelling of 268517 in words is "two hundred sixty-eight thousand, five hundred seventeen".