4072967 has 2 divisors, whose sum is σ = 4072968. Its totient is φ = 4072966.

The previous prime is 4072961. The next prime is 4072987. The reversal of 4072967 is 7692704.

4072967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 4072967 - 2⁴ = 4072951 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4072961) 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, 2036483 + 2036484.

It is an arithmetic number, because the mean of its divisors is an integer number (2036484).

Almost surely, 2^4072967 is an apocalyptic number.

4072967 is a deficient number, since it is larger than the sum of its proper divisors (1).

4072967 is an equidigital number, since it uses as much as digits as its factorization.

4072967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 4072967 is about 2018.1593098663. The cubic root of 4072967 is about 159.6995272248.

The spelling of 4072967 in words is "four million, seventy-two thousand, nine hundred sixty-seven".