255759 has 16 divisors (see below), whose sum is σ = 410880. Its totient is φ = 138240.

The previous prime is 255757. The next prime is 255763. The reversal of 255759 is 957552.

It is not a de Polignac number, because 255759 - 2¹ = 255757 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 255759.

It is not an unprimeable number, because it can be changed into a prime (255757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (25680).

2²⁵⁵⁷⁵⁹ is an apocalyptic number.

255759 is a deficient number, since it is larger than the sum of its proper divisors (155121).

255759 is a wasteful number, since it uses less digits than its factorization.

255759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670.

The product of its digits is 15750, while the sum is 33.

The square root of 255759 is about 505.7262105132. The cubic root of 255759 is about 63.4761106326.

The spelling of 255759 in words is "two hundred fifty-five thousand, seven hundred fifty-nine".