8407971 has 48 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 4570560.

The previous prime is 8407969. The next prime is 8407981. The reversal of 8407971 is 1797048.

It is not a de Polignac number, because 8407971 - 2¹ = 8407969 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

8407971 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8407951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60420 + ... + 60558.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 2^8407971 is an apocalyptic number.

8407971 is a deficient number, since it is larger than the sum of its proper divisors (6268509).

8407971 is a wasteful number, since it uses less digits than its factorization.

8407971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 8407971 is about 2899.6501513114. The cubic root of 8407971 is about 203.3435502048.

The spelling of 8407971 in words is "eight million, four hundred seven thousand, nine hundred seventy-one".