8006201 has 16 divisors (see below), whose sum is σ = 10200960. Its totient is φ = 6117120.

The previous prime is 8006179. The next prime is 8006203. The reversal of 8006201 is 1026008.

8006201 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 8006201 - 2⁶ = 8006137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

8006201 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 8006201.

It is not an unprimeable number, because it can be changed into a prime (8006203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491 + ... + 4031.

It is an arithmetic number, because the mean of its divisors is an integer number (637560).

Almost surely, 2^8006201 is an apocalyptic number.

It is an amenable number.

8006201 is a deficient number, since it is larger than the sum of its proper divisors (2194759).

8006201 is a wasteful number, since it uses less digits than its factorization.

8006201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 8006201 is about 2829.5231046945. The cubic root of 8006201 is about 200.0516616542.

The spelling of 8006201 in words is "eight million, six thousand, two hundred one".