8232100 has 36 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 3268000.

The previous prime is 8232083. The next prime is 8232109. The reversal of 8232100 is 12328.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8232109) 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 11 ways as a sum of consecutive naturals, for example, 18885 + ... + 19315.

It is an arithmetic number, because the mean of its divisors is an integer number (499968).

Almost surely, 2^8232100 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 8232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424).

8232100 is an abundant number, since it is smaller than the sum of its proper divisors (9766748).

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

8232100 is a wasteful number, since it uses less digits than its factorization.

8232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 8232100 is about 2869.1636412028. The cubic root of 8232100 is about 201.9157574415.

Adding to 8232100 its reverse (12328), we get a palindrome (8244428).

The spelling of 8232100 in words is "eight million, two hundred thirty-two thousand, one hundred".