82857712 has 40 divisors (see below), whose sum is σ = 186595200. Its totient is φ = 34905792.

The previous prime is 82857667. The next prime is 82857713. The reversal of 82857712 is 21775828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82857713) 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, 339 + ... + 12877.

It is an arithmetic number, because the mean of its divisors is an integer number (4664880).

Almost surely, 2^82857712 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 82857712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93297600).

82857712 is an abundant number, since it is smaller than the sum of its proper divisors (103737488).

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

82857712 is a wasteful number, since it uses less digits than its factorization.

82857712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12613 (or 12607 counting only the distinct ones).

The product of its digits is 62720, while the sum is 40.

The square root of 82857712 is about 9102.6211609624. The cubic root of 82857712 is about 435.9576593847.

The spelling of 82857712 in words is "eighty-two million, eight hundred fifty-seven thousand, seven hundred twelve".