82337220 has 144 divisors (see below), whose sum is σ = 288707328. Its totient is φ = 18604800.

The previous prime is 82337207. The next prime is 82337221. The reversal of 82337220 is 2273328.

It is not an unprimeable number, because it can be changed into a prime (82337221) 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 47 ways as a sum of consecutive naturals, for example, 126937 + ... + 127583.

It is an arithmetic number, because the mean of its divisors is an integer number (2004912).

Almost surely, 2^82337220 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 82337220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144353664).

82337220 is an abundant number, since it is smaller than the sum of its proper divisors (206370108).

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

82337220 is a wasteful number, since it uses less digits than its factorization.

82337220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 82337220 is about 9073.9858937514. The cubic root of 82337220 is about 435.0428812266.

The spelling of 82337220 in words is "eighty-two million, three hundred thirty-seven thousand, two hundred twenty".