10006067 has 2 divisors, whose sum is σ = 10006068. Its totient is φ = 10006066.

The previous prime is 10006063. The next prime is 10006097. The reversal of 10006067 is 76060001.

10006067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10006067 - 2² = 10006063 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10006063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003033 + 5003034.

It is an arithmetic number, because the mean of its divisors is an integer number (5003034).

Almost surely, 2^10006067 is an apocalyptic number.

10006067 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006067 is an equidigital number, since it uses as much as digits as its factorization.

10006067 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 10006067 is about 3163.2367916424. The cubic root of 10006067 is about 215.4870300458.

Adding to 10006067 its reverse (76060001), we get a palindrome (86066068).

The spelling of 10006067 in words is "ten million, six thousand, sixty-seven".