82220 has 12 divisors (see below), whose sum is σ = 172704. Its totient is φ = 32880.

The previous prime is 82219. The next prime is 82223. The reversal of 82220 is 2228.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82195 and 82204.

It is not an unprimeable number, because it can be changed into a prime (82223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2036 + ... + 2075.

It is an arithmetic number, because the mean of its divisors is an integer number (14392).

2⁸²²²⁰ is an apocalyptic number.

It is an amenable number.

82220 is an abundant number, since it is smaller than the sum of its proper divisors (90484).

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 (86352).

82220 is a wasteful number, since it uses less digits than its factorization.

82220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 82220 is about 286.7403006206. The cubic root of 82220 is about 43.4836332492.

Adding to 82220 its reverse (2228), we get a palindrome (84448).

The spelling of 82220 in words is "eighty-two thousand, two hundred twenty".