205764 has 24 divisors (see below), whose sum is σ = 517440. Its totient is φ = 63264.

The previous prime is 205763. The next prime is 205783. The reversal of 205764 is 467502.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205764.

It is not an unprimeable number, because it can be changed into a prime (205763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (21560).

2²⁰⁵⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

205764 is an abundant number, since it is smaller than the sum of its proper divisors (311676).

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

205764 is a wasteful number, since it uses less digits than its factorization.

205764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 205764 is about 453.6121691489. The cubic root of 205764 is about 59.0368437881.

It can be divided in two parts, 205 and 764, that added together give a palindrome (969).

The spelling of 205764 in words is "two hundred five thousand, seven hundred sixty-four".