259842 has 32 divisors (see below), whose sum is σ = 589824. Its totient is φ = 75600.

The previous prime is 259841. The next prime is 259867. The reversal of 259842 is 248952.

It is a d-powerful number, because it can be written as 2¹⁶ + 5² + 8² + 9⁵ + 4⁶ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (259841) 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, 1983 + ... + 2109.

It is an arithmetic number, because the mean of its divisors is an integer number (18432).

259842 is a Friedman number, since it can be written as 2+(4^5-9)*2^8, using all its digits and the basic arithmetic operations.

2²⁵⁹⁸⁴² is an apocalyptic number.

259842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 259842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294912).

259842 is an abundant number, since it is smaller than the sum of its proper divisors (329982).

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

259842 is a wasteful number, since it uses less digits than its factorization.

259842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174.

The product of its digits is 5760, while the sum is 30.

The square root of 259842 is about 509.7469960677. The cubic root of 259842 is about 63.8121117063.

The spelling of 259842 in words is "two hundred fifty-nine thousand, eight hundred forty-two".