82818792 has 96 divisors (see below), whose sum is σ = 259970880. Its totient is φ = 23328000.

The previous prime is 82818779. The next prime is 82818793. The reversal of 82818792 is 29781828.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82818793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35667 + ... + 37917.

It is an arithmetic number, because the mean of its divisors is an integer number (2708030).

Almost surely, 2^82818792 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 82818792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129985440).

82818792 is an abundant number, since it is smaller than the sum of its proper divisors (177152088).

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

82818792 is a wasteful number, since it uses less digits than its factorization.

82818792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2336 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 82818792 is about 9100.4830641016. The cubic root of 82818792 is about 435.8893892179.

The spelling of 82818792 in words is "eighty-two million, eight hundred eighteen thousand, seven hundred ninety-two".