8971129 has 2 divisors, whose sum is σ = 8971130. Its totient is φ = 8971128.

The previous prime is 8971117. The next prime is 8971139. The reversal of 8971129 is 9211798.

8971129 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8133904 + 837225 = 2852^2 + 915^2 .

It is a cyclic number.

It is not a de Polignac number, because 8971129 - 2¹⁷ = 8840057 is a prime.

It is not a weakly prime, because it can be changed into another prime (8971139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4485564 + 4485565.

It is an arithmetic number, because the mean of its divisors is an integer number (4485565).

Almost surely, 2^8971129 is an apocalyptic number.

It is an amenable number.

8971129 is a deficient number, since it is larger than the sum of its proper divisors (1).

8971129 is an equidigital number, since it uses as much as digits as its factorization.

8971129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9072, while the sum is 37.

The square root of 8971129 is about 2995.1843015080. The cubic root of 8971129 is about 207.7857214520.

The spelling of 8971129 in words is "eight million, nine hundred seventy-one thousand, one hundred twenty-nine".