8242100 has 18 divisors (see below), whose sum is σ = 17885574. Its totient is φ = 3296800.

The previous prime is 8242097. The next prime is 8242109. The reversal of 8242100 is 12428.

It can be written as a sum of positive squares in 3 ways, for example, as 2298256 + 5943844 = 1516^2 + 2438^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8242109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41111 + ... + 41310.

It is an arithmetic number, because the mean of its divisors is an integer number (993643).

Almost surely, 2^8242100 is an apocalyptic number.

It is an amenable number.

8242100 is an abundant number, since it is smaller than the sum of its proper divisors (9643474).

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

8242100 is a wasteful number, since it uses less digits than its factorization.

8242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82435 (or 82428 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 8242100 is about 2870.9057804115. The cubic root of 8242100 is about 201.9974838755.

Adding to 8242100 its reverse (12428), we get a palindrome (8254528).

The spelling of 8242100 in words is "eight million, two hundred forty-two thousand, one hundred".