8971209 has 32 divisors (see below), whose sum is σ = 14582400. Its totient is φ = 5417280.

The previous prime is 8971181. The next prime is 8971213. The reversal of 8971209 is 9021798.

It is a happy number.

8971209 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8971209 - 2⁵ = 8971177 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8971229) 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 31 ways as a sum of consecutive naturals, for example, 21202 + ... + 21620.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 2^8971209 is an apocalyptic number.

It is an amenable number.

8971209 is a deficient number, since it is larger than the sum of its proper divisors (5611191).

8971209 is a wasteful number, since it uses less digits than its factorization.

8971209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 8971209 is about 2995.1976562491. The cubic root of 8971209 is about 207.7863390929.

It can be divided in two parts, 8971 and 209, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8971209 in words is "eight million, nine hundred seventy-one thousand, two hundred nine".