205802 has 8 divisors (see below), whose sum is σ = 326916. Its totient is φ = 96832.

The previous prime is 205783. The next prime is 205817. The reversal of 205802 is 208502.

It is a happy number.

205802 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 203401 + 2401 = 451^2 + 49^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

205802 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2993 + ... + 3060.

2²⁰⁵⁸⁰² is an apocalyptic number.

205802 is a deficient number, since it is larger than the sum of its proper divisors (121114).

205802 is a wasteful number, since it uses less digits than its factorization.

205802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6072.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 205802 is about 453.6540532168. The cubic root of 205802 is about 59.0404778251.

The spelling of 205802 in words is "two hundred five thousand, eight hundred two".