82815744 has 72 divisors (see below), whose sum is σ = 240472512. Its totient is φ = 25093120.

The previous prime is 82815743. The next prime is 82815751. The reversal of 82815744 is 44751828.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82815743) 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 7 ways as a sum of consecutive naturals, for example, 3547 + ... + 13349.

It is an arithmetic number, because the mean of its divisors is an integer number (3339896).

Almost surely, 2^82815744 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 82815744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120236256).

82815744 is an abundant number, since it is smaller than the sum of its proper divisors (157656768).

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

82815744 is a wasteful number, since it uses less digits than its factorization.

82815744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833 (or 9819 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 82815744 is about 9100.3155989229. The cubic root of 82815744 is about 435.8840417715.

The spelling of 82815744 in words is "eighty-two million, eight hundred fifteen thousand, seven hundred forty-four".