82852336 has 80 divisors (see below), whose sum is σ = 193638400. Its totient is φ = 34292160.

The previous prime is 82852327. The next prime is 82852337. The reversal of 82852336 is 63325828.

It is a junction number, because it is equal to n+sod(n) for n = 82852295 and 82852304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82852337) 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 15 ways as a sum of consecutive naturals, for example, 169885 + ... + 170371.

It is an arithmetic number, because the mean of its divisors is an integer number (2420480).

Almost surely, 2^82852336 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 82852336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96819200).

82852336 is an abundant number, since it is smaller than the sum of its proper divisors (110786064).

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

82852336 is a wasteful number, since it uses less digits than its factorization.

82852336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 527 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 82852336 is about 9102.3258566149. The cubic root of 82852336 is about 435.9482305337.

The spelling of 82852336 in words is "eighty-two million, eight hundred fifty-two thousand, three hundred thirty-six".