8352100 has 45 divisors (see below), whose sum is σ = 19256797. Its totient is φ = 3144320.

The previous prime is 8352089. The next prime is 8352101. The reversal of 8352100 is 12538.

It is a happy number.

The square root of 8352100 is 2890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 910116 + 7441984 = 954^2 + 2728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8352101) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 491292 + ... + 491308.

Almost surely, 2^8352100 is an apocalyptic number.

8352100 is the 2890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8352100

8352100 is an abundant number, since it is smaller than the sum of its proper divisors (10904697).

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

8352100 is an equidigital number, since it uses as much as digits as its factorization.

8352100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The cubic root of 8352100 is about 202.8921426276.

Adding to 8352100 its reverse (12538), we get a palindrome (8364638).

The spelling of 8352100 in words is "eight million, three hundred fifty-two thousand, one hundred".