8252100 has 108 divisors (see below), whose sum is σ = 26506116. Its totient is φ = 2146560.

The previous prime is 8252093. The next prime is 8252129. The reversal of 8252100 is 12528.

It can be written as a sum of positive squares in 6 ways, for example, as 367236 + 7884864 = 606^2 + 2808^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47614 + ... + 47786.

It is an arithmetic number, because the mean of its divisors is an integer number (245427).

Almost surely, 2^8252100 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 8252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253058).

8252100 is an abundant number, since it is smaller than the sum of its proper divisors (18254016).

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

8252100 is a wasteful number, since it uses less digits than its factorization.

8252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8252100 is about 2872.6468630864. The cubic root of 8252100 is about 202.0791442313.

Adding to 8252100 its reverse (12528), we get a palindrome (8264628).

The spelling of 8252100 in words is "eight million, two hundred fifty-two thousand, one hundred".