268205 has 16 divisors (see below), whose sum is σ = 376320. Its totient is φ = 179712.

The previous prime is 268199. The next prime is 268207. The reversal of 268205 is 502862.

268205 = 298² + 299² + 300².

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 268205 - 2⁴ = 268189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2717 + ... + 2813.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2²⁶⁸²⁰⁵ is an apocalyptic number.

It is an amenable number.

268205 is a deficient number, since it is larger than the sum of its proper divisors (108115).

268205 is an equidigital number, since it uses as much as digits as its factorization.

268205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 268205 is about 517.8851223968. The cubic root of 268205 is about 64.4894921087.

The spelling of 268205 in words is "two hundred sixty-eight thousand, two hundred five".