9966667 has 2 divisors, whose sum is σ = 9966668. Its totient is φ = 9966666.

The previous prime is 9966643. The next prime is 9966689. The reversal of 9966667 is 7666699.

It is a strong prime.

It is an emirp because it is prime and its reverse (7666699) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9966667 - 2¹⁹ = 9442379 is a prime.

9966667 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9966667.

It is not a weakly prime, because it can be changed into another prime (9966167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4983333 + 4983334.

It is an arithmetic number, because the mean of its divisors is an integer number (4983334).

Almost surely, 2^9966667 is an apocalyptic number.

9966667 is a deficient number, since it is larger than the sum of its proper divisors (1).

9966667 is an equidigital number, since it uses as much as digits as its factorization.

9966667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 734832, while the sum is 49.

The square root of 9966667 is about 3157.0028508064. The cubic root of 9966667 is about 215.2038232969.

Subtracting from 9966667 its reverse (7666699), we obtain a cube (2299968 = 132³).

It can be divided in two parts, 99 and 66667, that added together give a palindrome (66766).

The spelling of 9966667 in words is "nine million, nine hundred sixty-six thousand, six hundred sixty-seven".