82544850 has 72 divisors (see below), whose sum is σ = 226020132. Its totient is φ = 21590400.

The previous prime is 82544827. The next prime is 82544851. The reversal of 82544850 is 5844528.

It can be written as a sum of positive squares in 6 ways, for example, as 25979409 + 56565441 = 5097^2 + 7521^2 .

It is not an unprimeable number, because it can be changed into a prime (82544851) 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 35 ways as a sum of consecutive naturals, for example, 22120 + ... + 25580.

Almost surely, 2^82544850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82544850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113010066).

82544850 is an abundant number, since it is smaller than the sum of its proper divisors (143475282).

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

82544850 is a wasteful number, since it uses less digits than its factorization.

82544850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 82544850 is about 9085.4196380795. The cubic root of 82544850 is about 435.4082572289.

The spelling of 82544850 in words is "eighty-two million, five hundred forty-four thousand, eight hundred fifty".