82020 has 24 divisors (see below), whose sum is σ = 229824. Its totient is φ = 21856.

The previous prime is 82013. The next prime is 82021. The reversal of 82020 is 2028.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 81987 and 82005.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82020.

It is not an unprimeable number, because it can be changed into a prime (82021) 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 7 ways as a sum of consecutive naturals, for example, 624 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2⁸²⁰²⁰ is an apocalyptic number.

It is an amenable number.

82020 is an abundant number, since it is smaller than the sum of its proper divisors (147804).

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 (114912).

82020 is a wasteful number, since it uses less digits than its factorization.

82020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1377 counting only the distinct ones).

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

The square root of 82020 is about 286.3913406512. The cubic root of 82020 is about 43.4483466693.

Adding to 82020 its reverse (2028), we get a palindrome (84048).

The spelling of 82020 in words is "eighty-two thousand, twenty".