82913220 has 240 divisors, whose sum is σ = 291422208. Its totient is φ = 19595520.

The previous prime is 82913203. The next prime is 82913227. The reversal of 82913220 is 2231928.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (82913227) 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 79 ways as a sum of consecutive naturals, for example, 652797 + ... + 652923.

Almost surely, 2^82913220 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 82913220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145711104).

82913220 is an abundant number, since it is smaller than the sum of its proper divisors (208508988).

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

82913220 is a wasteful number, since it uses less digits than its factorization.

82913220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82913220 is about 9105.6696623587. The cubic root of 82913220 is about 436.0549898378.

It can be divided in two parts, 8291 and 3220, that added together give a palindrome (11511).

The spelling of 82913220 in words is "eighty-two million, nine hundred thirteen thousand, two hundred twenty".