20082 has 8 divisors (see below), whose sum is σ = 40176. Its totient is φ = 6692.

The previous prime is 20071. The next prime is 20089. The reversal of 20082 is 28002.

20082 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

20082 is an admirable number.

It is a plaindrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20082.

It is not an unprimeable number, because it can be changed into a prime (20089) by changing a digit.

20082 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1668 + ... + 1679.

It is an arithmetic number, because the mean of its divisors is an integer number (5022).

2²⁰⁰⁸² is an apocalyptic number.

20082 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 (20088).

20082 is a wasteful number, since it uses less digits than its factorization.

20082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20082 is about 141.7109734636. The cubic root of 20082 is about 27.1812226226.

Adding to 20082 its reverse (28002), we get a palindrome (48084).

It can be divided in two parts, 200 and 82, that added together give a palindrome (282).

The spelling of 20082 in words is "twenty thousand, eighty-two".