7971641 has 8 divisors (see below), whose sum is σ = 8252640. Its totient is φ = 7695072.

The previous prime is 7971617. The next prime is 7971643. The reversal of 7971641 is 1461797.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7971641 - 2⁶ = 7971577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7971643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2786 + ... + 4868.

It is an arithmetic number, because the mean of its divisors is an integer number (1031580).

Almost surely, 2^7971641 is an apocalyptic number.

It is an amenable number.

7971641 is a deficient number, since it is larger than the sum of its proper divisors (280999).

7971641 is a wasteful number, since it uses less digits than its factorization.

7971641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215.

The product of its digits is 10584, while the sum is 35.

The square root of 7971641 is about 2823.4094637512. The cubic root of 7971641 is about 199.7633952012.

The spelling of 7971641 in words is "seven million, nine hundred seventy-one thousand, six hundred forty-one".