259984 has 10 divisors (see below), whose sum is σ = 503750. Its totient is φ = 129984.

The previous prime is 259967. The next prime is 259991. The reversal of 259984 is 489952.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 29584 = 480^2 + 172^2 .

It is an unprimeable number.

259984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8109 + ... + 8140.

It is an arithmetic number, because the mean of its divisors is an integer number (50375).

2²⁵⁹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

259984 is a deficient number, since it is larger than the sum of its proper divisors (243766).

259984 is a wasteful number, since it uses less digits than its factorization.

259984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16257 (or 16251 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 259984 is about 509.8862618271. The cubic root of 259984 is about 63.8237337301.

The spelling of 259984 in words is "two hundred fifty-nine thousand, nine hundred eighty-four".