80259 has 8 divisors (see below), whose sum is σ = 110592. Its totient is φ = 51720.

The previous prime is 80251. The next prime is 80263. The reversal of 80259 is 95208.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 80259 - 2³ = 80251 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (80251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (13824).

2⁸⁰²⁵⁹ is an apocalyptic number.

80259 is a deficient number, since it is larger than the sum of its proper divisors (30333).

80259 is a wasteful number, since it uses less digits than its factorization.

80259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 80259 is about 283.3001941404. The cubic root of 80259 is about 43.1351435916.

It can be divided in two parts, 802 and 59, that added together give a triangular number (861 = T₄₁).

The spelling of 80259 in words is "eighty thousand, two hundred fifty-nine".