7872971 has 8 divisors (see below), whose sum is σ = 8121360. Its totient is φ = 7626528.

The previous prime is 7872947. The next prime is 7873001. The reversal of 7872971 is 1792787.

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 7872971 - 2¹⁴ = 7856587 is a prime.

It is a d-powerful number, because it can be written as 7³ + 8⁷ + 7⁴ + 2¹³ + 9² + 7⁸ + 1 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7872671) 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 7 ways as a sum of consecutive naturals, for example, 14120 + ... + 14666.

It is an arithmetic number, because the mean of its divisors is an integer number (1015170).

Almost surely, 2^7872971 is an apocalyptic number.

7872971 is a deficient number, since it is larger than the sum of its proper divisors (248389).

7872971 is a wasteful number, since it uses less digits than its factorization.

7872971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973.

The product of its digits is 49392, while the sum is 41.

The square root of 7872971 is about 2805.8815014180. The cubic root of 7872971 is about 198.9357721397.

The spelling of 7872971 in words is "seven million, eight hundred seventy-two thousand, nine hundred seventy-one".