8259 has 4 divisors (see below), whose sum is σ = 11016. Its totient is φ = 5504.

The previous prime is 8243. The next prime is 8263. The reversal of 8259 is 9528.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 8259 - 2⁴ = 8243 is a prime.

It is a super-2 number, since 2×8259² = 136422162, which contains 22 as substring.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (8209) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1374 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (2754).

2⁸²⁵⁹ is an apocalyptic number.

8259 is a deficient number, since it is larger than the sum of its proper divisors (2757).

8259 is a wasteful number, since it uses less digits than its factorization.

8259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756.

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

The square root of 8259 is about 90.8790404879. The cubic root of 8259 is about 20.2135451420.

It can be divided in two parts, 82 and 59, that added together give a palindrome (141).

The spelling of 8259 in words is "eight thousand, two hundred fifty-nine".