82005 has 32 divisors (see below), whose sum is σ = 165888. Its totient is φ = 33600.

The previous prime is 82003. The next prime is 82007. The reversal of 82005 is 50028.

It is an interprime number because it is at equal distance from previous prime (82003) and next prime (82007).

It is not a de Polignac number, because 82005 - 2¹ = 82003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82005.

It is not an unprimeable number, because it can be changed into a prime (82003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

2⁸²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

82005 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82944).

82005 is a wasteful number, since it uses less digits than its factorization.

82005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 82005 is about 286.3651515111. The cubic root of 82005 is about 43.4456978644.

The spelling of 82005 in words is "eighty-two thousand, five".