82008 has 48 divisors (see below), whose sum is σ = 238680. Its totient is φ = 25344.

The previous prime is 82007. The next prime is 82009. The reversal of 82008 is 80028.

It is an interprime number because it is at equal distance from previous prime (82007) and next prime (82009).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82003) 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 11 ways as a sum of consecutive naturals, for example, 1191 + ... + 1257.

2⁸²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340).

82008 is an abundant number, since it is smaller than the sum of its proper divisors (156672).

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

82008 is a wasteful number, since it uses less digits than its factorization.

82008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 82008 is about 286.3703895308. The cubic root of 82008 is about 43.4462276513.

It can be divided in two parts, 8 and 2008, that added together give a triangular number (2016 = T₆₃).

The spelling of 82008 in words is "eighty-two thousand, eight".