82311296 has 64 divisors (see below), whose sum is σ = 173905920. Its totient is φ = 38725632.

The previous prime is 82311289. The next prime is 82311329. The reversal of 82311296 is 69211328.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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, 214721 + ... + 215103.

It is an arithmetic number, because the mean of its divisors is an integer number (2717280).

Almost surely, 2^82311296 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 82311296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86952960).

82311296 is an abundant number, since it is smaller than the sum of its proper divisors (91594624).

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

82311296 is a wasteful number, since it uses less digits than its factorization.

82311296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 82311296 is about 9072.5573021062. The cubic root of 82311296 is about 434.9972184611.

Adding to 82311296 its sum of digits (32), we get a palindrome (82311328).

The spelling of 82311296 in words is "eighty-two million, three hundred eleven thousand, two hundred ninety-six".