82315296 has 216 divisors, whose sum is σ = 287567280. Its totient is φ = 22208256.

The previous prime is 82315279. The next prime is 82315313. The reversal of 82315296 is 69251328.

It is an interprime number because it is at equal distance from previous prime (82315279) and next prime (82315313).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82315296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267975 + ... + 268281.

It is an arithmetic number, because the mean of its divisors is an integer number (1331330).

Almost surely, 2^82315296 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 82315296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143783640).

82315296 is an abundant number, since it is smaller than the sum of its proper divisors (205251984).

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

82315296 is a wasteful number, since it uses less digits than its factorization.

82315296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 338 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 82315296 is about 9072.7777444397. Note that the first 4 decimals coincide. The cubic root of 82315296 is about 435.0042647224.

The spelling of 82315296 in words is "eighty-two million, three hundred fifteen thousand, two hundred ninety-six".