82022382 has 160 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 22643712.

The previous prime is 82022363. The next prime is 82022383. The reversal of 82022382 is 28322028.

It is a super-2 number, since 2×82022382² = 13455342297907848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82022383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1038219 + ... + 1038297.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2^82022382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82022382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

82022382 is an abundant number, since it is smaller than the sum of its proper divisors (137520018).

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

82022382 is a wasteful number, since it uses less digits than its factorization.

82022382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82022382 is about 9056.6208930263. The cubic root of 82022382 is about 434.4876726983.

The spelling of 82022382 in words is "eighty-two million, twenty-two thousand, three hundred eighty-two".