4009667 has 2 divisors, whose sum is σ = 4009668. Its totient is φ = 4009666.

The previous prime is 4009639. The next prime is 4009669. The reversal of 4009667 is 7669004.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4009667 - 2¹⁰ = 4008643 is a prime.

Together with 4009669, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4009669) 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, 2004833 + 2004834.

It is an arithmetic number, because the mean of its divisors is an integer number (2004834).

Almost surely, 2^4009667 is an apocalyptic number.

4009667 is a deficient number, since it is larger than the sum of its proper divisors (1).

4009667 is an equidigital number, since it uses as much as digits as its factorization.

4009667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 4009667 is about 2002.4152915916. The cubic root of 4009667 is about 158.8678807013.

The spelling of 4009667 in words is "four million, nine thousand, six hundred sixty-seven".