82335712 has 48 divisors (see below), whose sum is σ = 169147440. Its totient is φ = 39416832.

The previous prime is 82335703. The next prime is 82335713. The reversal of 82335712 is 21753328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82335713) 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, 72364 + ... + 73492.

It is an arithmetic number, because the mean of its divisors is an integer number (3523905).

Almost surely, 2^82335712 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 82335712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84573720).

82335712 is an abundant number, since it is smaller than the sum of its proper divisors (86811728).

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

82335712 is a wasteful number, since it uses less digits than its factorization.

82335712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1227 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 82335712 is about 9073.9027986859. The cubic root of 82335712 is about 435.0402252844.

The spelling of 82335712 in words is "eighty-two million, three hundred thirty-five thousand, seven hundred twelve".