7967001 has 16 divisors (see below), whose sum is σ = 12308864. Its totient is φ = 4489344.

The previous prime is 7966979. The next prime is 7967009. The reversal of 7967001 is 1007697.

It is not a de Polignac number, because 7967001 - 2⁷ = 7966873 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7967001.

It is not an unprimeable number, because it can be changed into a prime (7967009) 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 15 ways as a sum of consecutive naturals, for example, 1066 + ... + 4131.

It is an arithmetic number, because the mean of its divisors is an integer number (769304).

Almost surely, 2^7967001 is an apocalyptic number.

It is an amenable number.

7967001 is a deficient number, since it is larger than the sum of its proper divisors (4341863).

7967001 is a wasteful number, since it uses less digits than its factorization.

7967001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280.

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 7967001 is about 2822.5876425720. The cubic root of 7967001 is about 199.7246293624.

The spelling of 7967001 in words is "seven million, nine hundred sixty-seven thousand, one".