82733296 has 40 divisors (see below), whose sum is σ = 174195200. Its totient is φ = 37920960.

The previous prime is 82733279. The next prime is 82733297. The reversal of 82733296 is 69233728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82733297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5035 + ... + 13813.

It is an arithmetic number, because the mean of its divisors is an integer number (4354880).

Almost surely, 2^82733296 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 82733296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87097600).

82733296 is an abundant number, since it is smaller than the sum of its proper divisors (91461904).

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

82733296 is a wasteful number, since it uses less digits than its factorization.

82733296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8837 (or 8831 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 82733296 is about 9095.7845181161. The cubic root of 82733296 is about 435.7393442442.

The spelling of 82733296 in words is "eighty-two million, seven hundred thirty-three thousand, two hundred ninety-six".