8200001 has 16 divisors (see below), whose sum is σ = 9331200. Its totient is φ = 7158528.

The previous prime is 8199979. The next prime is 8200007. The reversal of 8200001 is 1000028.

It is a cyclic number.

It is not a de Polignac number, because 8200001 - 2¹⁸ = 7937857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8200007) 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 15 ways as a sum of consecutive naturals, for example, 16880 + ... + 17358.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 2^8200001 is an apocalyptic number.

It is an amenable number.

8200001 is a deficient number, since it is larger than the sum of its proper divisors (1131199).

8200001 is a wasteful number, since it uses less digits than its factorization.

8200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 8200001 is about 2863.5643872628. The cubic root of 8200001 is about 201.6529757191.

Adding to 8200001 its reverse (1000028), we get a palindrome (9200029).

The spelling of 8200001 in words is "eight million, two hundred thousand, one".