8482100 has 54 divisors (see below), whose sum is σ = 20260422. Its totient is φ = 3080000.

The previous prime is 8482091. The next prime is 8482169. The reversal of 8482100 is 12848.

It can be written as a sum of positive squares in 3 ways, for example, as 1628176 + 6853924 = 1276^2 + 2618^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11750 + ... + 12450.

It is an arithmetic number, because the mean of its divisors is an integer number (375193).

Almost surely, 2^8482100 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 8482100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10130211).

8482100 is an abundant number, since it is smaller than the sum of its proper divisors (11778322).

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

8482100 is a wasteful number, since it uses less digits than its factorization.

8482100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 8482100 is about 2912.4045048722. The cubic root of 8482100 is about 203.9393963257.

Adding to 8482100 its reverse (12848), we get a palindrome (8494948).

The spelling of 8482100 in words is "eight million, four hundred eighty-two thousand, one hundred".