4005967 has 4 divisors (see below), whose sum is σ = 4578256. Its totient is φ = 3433680.

The previous prime is 4005959. The next prime is 4005971. The reversal of 4005967 is 7695004.

4005967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 4005967 - 2³ = 4005959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005917) 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 in 3 ways as a sum of consecutive naturals, for example, 286134 + ... + 286147.

It is an arithmetic number, because the mean of its divisors is an integer number (1144564).

Almost surely, 2^4005967 is an apocalyptic number.

4005967 is a deficient number, since it is larger than the sum of its proper divisors (572289).

4005967 is an equidigital number, since it uses as much as digits as its factorization.

4005967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572288.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 4005967 is about 2001.4911940851. The cubic root of 4005967 is about 158.8189994969.

The spelling of 4005967 in words is "four million, five thousand, nine hundred sixty-seven".