82422100 has 36 divisors (see below), whose sum is σ = 180550944. Its totient is φ = 32656480.

The previous prime is 82422097. The next prime is 82422101. The reversal of 82422100 is 122428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82422101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6849 + ... + 14551.

It is an arithmetic number, because the mean of its divisors is an integer number (5015304).

Almost surely, 2^82422100 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 82422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90275472).

82422100 is an abundant number, since it is smaller than the sum of its proper divisors (98128844).

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

82422100 is a wasteful number, since it uses less digits than its factorization.

82422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 82422100 is about 9078.6617956613. The cubic root of 82422100 is about 435.1923225852.

Adding to 82422100 its reverse (122428), we get a palindrome (82544528).

The spelling of 82422100 in words is "eighty-two million, four hundred twenty-two thousand, one hundred".