205888 has 14 divisors (see below), whose sum is σ = 408686. Its totient is φ = 102912.

The previous prime is 205883. The next prime is 205913. The reversal of 205888 is 888502.

It can be written as a sum of positive squares in only one way, i.e., 200704 + 5184 = 448^2 + 72^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (205883) by changing a digit.

205888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1545 + ... + 1672.

2²⁰⁵⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

205888 is a deficient number, since it is larger than the sum of its proper divisors (202798).

205888 is an equidigital number, since it uses as much as digits as its factorization.

205888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 205888 is about 453.7488291996. The cubic root of 205888 is about 59.0487005732.

The spelling of 205888 in words is "two hundred five thousand, eight hundred eighty-eight".