268765 has 12 divisors (see below), whose sum is σ = 375516. Its totient is φ = 184128.

The previous prime is 268759. The next prime is 268771. The reversal of 268765 is 567862.

It is an interprime number because it is at equal distance from previous prime (268759) and next prime (268771).

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 182329 = 294^2 + 427^2 .

It is not a de Polignac number, because 268765 - 2³ = 268757 is a prime.

It is an Ulam number.

It is a Duffinian number.

268765 is a lucky number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 268765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304 + ... + 793.

It is an arithmetic number, because the mean of its divisors is an integer number (31293).

2²⁶⁸⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

268765 is a deficient number, since it is larger than the sum of its proper divisors (106751).

268765 is a wasteful number, since it uses less digits than its factorization.

268765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1109 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 268765 is about 518.4255009160. The cubic root of 268765 is about 64.5343446280.

The spelling of 268765 in words is "two hundred sixty-eight thousand, seven hundred sixty-five".