8971 has 2 divisors, whose sum is σ = 8972. Its totient is φ = 8970.

The previous prime is 8969. The next prime is 8999. The reversal of 8971 is 1798.

8971 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 8971 - 2¹ = 8969 is a prime.

Together with 8969, it forms a pair of twin primes.

It is an Ulam number.

It is a d-powerful number, because it can be written as 8 + 7⁴ + 9⁴ + 1 .

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (8941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4485 + 4486.

It is an arithmetic number, because the mean of its divisors is an integer number (4486).

2⁸⁹⁷¹ is an apocalyptic number.

8971 is a deficient number, since it is larger than the sum of its proper divisors (1).

8971 is an equidigital number, since it uses as much as digits as its factorization.

8971 is an evil number, because the sum of its binary digits is even.

The product of its digits is 504, while the sum is 25.

The square root of 8971 is about 94.7153630622. The cubic root of 8971 is about 20.7784725498.

It can be divided in two parts, 897 and 1, that added together give a palindrome (898).

The spelling of 8971 in words is "eight thousand, nine hundred seventy-one".