82059 has 8 divisors (see below), whose sum is σ = 115920. Its totient is φ = 51456.

The previous prime is 82051. The next prime is 82067. The reversal of 82059 is 95028.

It is an interprime number because it is at equal distance from previous prime (82051) and next prime (82067).

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

It is not a de Polignac number, because 82059 - 2³ = 82051 is a prime.

82059 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (82051) 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, 754 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (14490).

2⁸²⁰⁵⁹ is an apocalyptic number.

82059 is a deficient number, since it is larger than the sum of its proper divisors (33861).

82059 is a wasteful number, since it uses less digits than its factorization.

82059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629.

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

The square root of 82059 is about 286.4594212101. The cubic root of 82059 is about 43.4552320510.

The spelling of 82059 in words is "eighty-two thousand, fifty-nine".