82221020 has 72 divisors (see below), whose sum is σ = 204773184. Its totient is φ = 27640704.

The previous prime is 82221017. The next prime is 82221101. The reversal of 82221020 is 2012228.

It is a super-2 number, since 2×82221020² = 13520592259680800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82221020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51149 + ... + 52731.

It is an arithmetic number, because the mean of its divisors is an integer number (2844072).

Almost surely, 2^82221020 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 82221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102386592).

82221020 is an abundant number, since it is smaller than the sum of its proper divisors (122552164).

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

82221020 is a wasteful number, since it uses less digits than its factorization.

82221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 82221020 is about 9067.5807137295. The cubic root of 82221020 is about 434.8381306400.

Adding to 82221020 its reverse (2012228), we get a palindrome (84233248).

The spelling of 82221020 in words is "eighty-two million, two hundred twenty-one thousand, twenty".