82559 has 2 divisors, whose sum is σ = 82560. Its totient is φ = 82558.

The previous prime is 82549. The next prime is 82561. The reversal of 82559 is 95528.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82559 is a prime.

Together with 82561, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41279 + 41280.

It is an arithmetic number, because the mean of its divisors is an integer number (41280).

2⁸²⁵⁵⁹ is an apocalyptic number.

82559 is a deficient number, since it is larger than the sum of its proper divisors (1).

82559 is an equidigital number, since it uses as much as digits as its factorization.

82559 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3600, while the sum is 29.

The square root of 82559 is about 287.3308197879. The cubic root of 82559 is about 43.5433135320.

The spelling of 82559 in words is "eighty-two thousand, five hundred fifty-nine".