205759 has 2 divisors, whose sum is σ = 205760. Its totient is φ = 205758.

The previous prime is 205721. The next prime is 205763. The reversal of 205759 is 957502.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205759 - 2¹³ = 197567 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102879 + 102880.

It is an arithmetic number, because the mean of its divisors is an integer number (102880).

2²⁰⁵⁷⁵⁹ is an apocalyptic number.

205759 is a deficient number, since it is larger than the sum of its proper divisors (1).

205759 is an equidigital number, since it uses as much as digits as its factorization.

205759 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 205759 is about 453.6066577995. The cubic root of 205759 is about 59.0363655920.

It can be divided in two parts, 2057 and 59, that added together give a square (2116 = 46²).

The spelling of 205759 in words is "two hundred five thousand, seven hundred fifty-nine".