4008967 has 2 divisors, whose sum is σ = 4008968. Its totient is φ = 4008966.

The previous prime is 4008947. The next prime is 4008971. The reversal of 4008967 is 7698004.

4008967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4008967 - 2¹⁵ = 3976199 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4008947) 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, 2004483 + 2004484.

It is an arithmetic number, because the mean of its divisors is an integer number (2004484).

Almost surely, 2^4008967 is an apocalyptic number.

4008967 is a deficient number, since it is larger than the sum of its proper divisors (1).

4008967 is an equidigital number, since it uses as much as digits as its factorization.

4008967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 4008967 is about 2002.2404950455. The cubic root of 4008967 is about 158.8586352129.

The spelling of 4008967 in words is "four million, eight thousand, nine hundred sixty-seven".