82705336 has 72 divisors (see below), whose sum is σ = 187019280. Its totient is φ = 34173216.

The previous prime is 82705331. The next prime is 82705367. The reversal of 82705336 is 63350728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82705331) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1234375 + ... + 1234441.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2^82705336 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 82705336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93509640).

82705336 is an abundant number, since it is smaller than the sum of its proper divisors (104313944).

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

82705336 is a wasteful number, since it uses less digits than its factorization.

82705336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 82705336 is about 9094.2474125130. The cubic root of 82705336 is about 435.6902521802.

The spelling of 82705336 in words is "eighty-two million, seven hundred five thousand, three hundred thirty-six".