259791 has 16 divisors (see below), whose sum is σ = 403200. Its totient is φ = 145728.

The previous prime is 259783. The next prime is 259801. The reversal of 259791 is 197952.

It is not a de Polignac number, because 259791 - 2³ = 259783 is a prime.

259791 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259751) 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, 1800 + ... + 1938.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2²⁵⁹⁷⁹¹ is an apocalyptic number.

259791 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

259791 is a deficient number, since it is larger than the sum of its proper divisors (143409).

259791 is a wasteful number, since it uses less digits than its factorization.

259791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238.

The product of its digits is 5670, while the sum is 33.

The square root of 259791 is about 509.6969687962. The cubic root of 259791 is about 63.8079365657.

The spelling of 259791 in words is "two hundred fifty-nine thousand, seven hundred ninety-one".