82819584 has 100 divisors (see below), whose sum is σ = 247318434. Its totient is φ = 27592704.

The previous prime is 82819577. The next prime is 82819589. The reversal of 82819584 is 48591828.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 518400 = 9072^2 + 720^2 .

It is not an unprimeable number, because it can be changed into a prime (82819589) 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 9 ways as a sum of consecutive naturals, for example, 40474 + ... + 42470.

Almost surely, 2^82819584 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 82819584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123659217).

82819584 is an abundant number, since it is smaller than the sum of its proper divisors (164498850).

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

82819584 is an equidigital number, since it uses as much as digits as its factorization.

82819584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2002 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 82819584 is about 9100.5265781712. The cubic root of 82819584 is about 435.8907786904.

The spelling of 82819584 in words is "eighty-two million, eight hundred nineteen thousand, five hundred eighty-four".