8459 has 4 divisors (see below), whose sum is σ = 9240. Its totient is φ = 7680.

The previous prime is 8447. The next prime is 8461. The reversal of 8459 is 9548.

8459 = T₁₆ + T₁₇ + ... + T₃₇.

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 8459 - 2⁴ = 8443 is a prime.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (8419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 374 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (2310).

2⁸⁴⁵⁹ is an apocalyptic number.

8459 is a deficient number, since it is larger than the sum of its proper divisors (781).

8459 is a wasteful number, since it uses less digits than its factorization.

8459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780.

The product of its digits is 1440, while the sum is 26.

The square root of 8459 is about 91.9728220726. The cubic root of 8459 is about 20.3754093034.

Subtracting 8459 from its reverse (9548), we obtain a square (1089 = 33²).

The spelling of 8459 in words is "eight thousand, four hundred fifty-nine".