82859 has 12 divisors (see below), whose sum is σ = 102600. Its totient is φ = 66528.

The previous prime is 82847. The next prime is 82883. The reversal of 82859 is 95828.

It is a de Polignac number, because none of the positive numbers 2^k-82859 is a prime.

It is a super-2 number, since 2×82859² = 13731227762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 887 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2⁸²⁸⁵⁹ is an apocalyptic number.

82859 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

82859 is a deficient number, since it is larger than the sum of its proper divisors (19741).

82859 is a wasteful number, since it uses less digits than its factorization.

82859 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 115 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 82859 is about 287.8523927293. The cubic root of 82859 is about 43.5959918320.

The spelling of 82859 in words is "eighty-two thousand, eight hundred fifty-nine".