10006001 has 2 divisors, whose sum is σ = 10006002. Its totient is φ = 10006000.

The previous prime is 10005997. The next prime is 10006039. The reversal of 10006001 is 10060001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9006001 + 1000000 = 3001^2 + 1000^2 .

It is a cyclic number.

It is not a de Polignac number, because 10006001 - 2² = 10005997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10006001.

It is not a weakly prime, because it can be changed into another prime (10006201) 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 as a sum of consecutive naturals, namely, 5003000 + 5003001.

It is an arithmetic number, because the mean of its divisors is an integer number (5003001).

Almost surely, 2^10006001 is an apocalyptic number.

It is an amenable number.

10006001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006001 is an equidigital number, since it uses as much as digits as its factorization.

10006001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10006001 is about 3163.2263592731. The cubic root of 10006001 is about 215.4865562607.

Adding to 10006001 its reverse (10060001), we get a palindrome (20066002).

The spelling of 10006001 in words is "ten million, six thousand, one".