10000667 has 2 divisors, whose sum is σ = 10000668. Its totient is φ = 10000666.

The previous prime is 10000657. The next prime is 10000687. The reversal of 10000667 is 76600001.

It is an a-pointer prime, because the next prime (10000687) can be obtained adding 10000667 to its sum of digits (20).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10000667 - 2⁴ = 10000651 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000333 + 5000334.

It is an arithmetic number, because the mean of its divisors is an integer number (5000334).

Almost surely, 2^10000667 is an apocalyptic number.

10000667 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000667 is an equidigital number, since it uses as much as digits as its factorization.

10000667 is an odious number, because the sum of its binary digits is odd.

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

The square root of 10000667 is about 3162.3831203698. The cubic root of 10000667 is about 215.4482589232.

Adding to 10000667 its reverse (76600001), we get a palindrome (86600668).

The spelling of 10000667 in words is "ten million, six hundred sixty-seven", and thus it is an aban number.