8282100 has 72 divisors (see below), whose sum is σ = 25241440. Its totient is φ = 2090880.

The previous prime is 8282083. The next prime is 8282107. The reversal of 8282100 is 12828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4974 + ... + 6426.

Almost surely, 2^8282100 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 8282100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620720).

8282100 is an abundant number, since it is smaller than the sum of its proper divisors (16959340).

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

8282100 is a wasteful number, since it uses less digits than its factorization.

8282100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8282100 is about 2877.8637910784. The cubic root of 8282100 is about 202.3237301615.

Adding to 8282100 its reverse (12828), we get a palindrome (8294928).

The spelling of 8282100 in words is "eight million, two hundred eighty-two thousand, one hundred".