268757 has 2 divisors, whose sum is σ = 268758. Its totient is φ = 268756.

The previous prime is 268747. The next prime is 268759. The reversal of 268757 is 757862.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139876 + 128881 = 374^2 + 359^2 .

It is a cyclic number.

It is not a de Polignac number, because 268757 - 2⁶ = 268693 is a prime.

Together with 268759, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (268759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134378 + 134379.

It is an arithmetic number, because the mean of its divisors is an integer number (134379).

268757 is a Friedman number, since it can be written as 7+86*5^(7-2), using all its digits and the basic arithmetic operations.

2²⁶⁸⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

268757 is a deficient number, since it is larger than the sum of its proper divisors (1).

268757 is an equidigital number, since it uses as much as digits as its factorization.

268757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23520, while the sum is 35.

The square root of 268757 is about 518.4177851887. The cubic root of 268757 is about 64.5337043166.

It can be divided in two parts, 2687 and 57, that added together give a cube (2744 = 14³).

The spelling of 268757 in words is "two hundred sixty-eight thousand, seven hundred fifty-seven".