268705 has 8 divisors (see below), whose sum is σ = 328104. Its totient is φ = 211200.

The previous prime is 268693. The next prime is 268721. The reversal of 268705 is 507862.

It can be written as a sum of positive squares in 4 ways, for example, as 6561 + 262144 = 81^2 + 512^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 268705 - 2¹⁷ = 137633 is a prime.

It is a Leyland number of the form 9⁴ + 4⁹.

It is a Duffinian number.

268705 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 136 + ... + 745.

It is an arithmetic number, because the mean of its divisors is an integer number (41013).

2²⁶⁸⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

268705 is a deficient number, since it is larger than the sum of its proper divisors (59399).

268705 is an equidigital number, since it uses as much as digits as its factorization.

268705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 268705 is about 518.3676301622. The cubic root of 268705 is about 64.5295419827.

The spelling of 268705 in words is "two hundred sixty-eight thousand, seven hundred five".