7968005 has 16 divisors (see below), whose sum is σ = 10056960. Its totient is φ = 6048768.

The previous prime is 7968001. The next prime is 7968007. The reversal of 7968005 is 5008697.

It is a cyclic number.

It is not a de Polignac number, because 7968005 - 2² = 7968001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968001) 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, 22016 + ... + 22374.

It is an arithmetic number, because the mean of its divisors is an integer number (628560).

Almost surely, 2^7968005 is an apocalyptic number.

It is an amenable number.

7968005 is a deficient number, since it is larger than the sum of its proper divisors (2088955).

7968005 is a wasteful number, since it uses less digits than its factorization.

7968005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 7968005 is about 2822.7654879568. The cubic root of 7968005 is about 199.7330187637.

The spelling of 7968005 in words is "seven million, nine hundred sixty-eight thousand, five".