205765 has 8 divisors (see below), whose sum is σ = 282240. Its totient is φ = 141072.

The previous prime is 205763. The next prime is 205783. The reversal of 205765 is 567502.

It is a happy number.

205765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 205765 - 2¹ = 205763 is a prime.

It is a congruent number.

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, 2905 + ... + 2974.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2²⁰⁵⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

205765 is a deficient number, since it is larger than the sum of its proper divisors (76475).

205765 is an equidigital number, since it uses as much as digits as its factorization.

205765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891.

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 205765 is about 453.6132714108. The cubic root of 205765 is about 59.0369394263.

The spelling of 205765 in words is "two hundred five thousand, seven hundred sixty-five".