205770 has 32 divisors (see below), whose sum is σ = 521280. Its totient is φ = 51984.

The previous prime is 205763. The next prime is 205783. The reversal of 205770 is 77502.

205770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205770.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10821 + ... + 10839.

It is an arithmetic number, because the mean of its divisors is an integer number (16290).

2²⁰⁵⁷⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260640).

205770 is an abundant number, since it is smaller than the sum of its proper divisors (315510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205770 is an equidigital number, since it uses as much as digits as its factorization.

205770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 205770 is about 453.6187826799. The cubic root of 205770 is about 59.0374176131.

The spelling of 205770 in words is "two hundred five thousand, seven hundred seventy".