82847700 has 216 divisors, whose sum is σ = 286410488. Its totient is φ = 19906560.

The previous prime is 82847683. The next prime is 82847701. The reversal of 82847700 is 774828.

It can be written as a sum of positive squares in 12 ways, for example, as 36144144 + 46703556 = 6012^2 + 6834^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82847701) 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 71 ways as a sum of consecutive naturals, for example, 854052 + ... + 854148.

Almost surely, 2^82847700 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 82847700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143205244).

82847700 is an abundant number, since it is smaller than the sum of its proper divisors (203562788).

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

82847700 is a wasteful number, since it uses less digits than its factorization.

82847700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 82847700 is about 9102.0711928659. The cubic root of 82847700 is about 435.9400992253.

The spelling of 82847700 in words is "eighty-two million, eight hundred forty-seven thousand, seven hundred".