259836 has 24 divisors (see below), whose sum is σ = 618240. Its totient is φ = 84912.

The previous prime is 259829. The next prime is 259837. The reversal of 259836 is 638952.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 259797 and 259806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259837) by changing a digit.

259836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525 + ... + 891.

It is an arithmetic number, because the mean of its divisors is an integer number (25760).

2²⁵⁹⁸³⁶ is an apocalyptic number.

It is an amenable number.

259836 is an abundant number, since it is smaller than the sum of its proper divisors (358404).

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

259836 is a wasteful number, since it uses less digits than its factorization.

259836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 259836 is about 509.7411107611. The cubic root of 259836 is about 63.8116205416.

It can be divided in two parts, 2598 and 36, that multiplied together give a triangular number (93528 = T₄₃₂).

The spelling of 259836 in words is "two hundred fifty-nine thousand, eight hundred thirty-six".