8126209 has 12 divisors (see below), whose sum is σ = 10180884. Its totient is φ = 6429024.

The previous prime is 8126203. The next prime is 8126213. The reversal of 8126209 is 9026218.

It is a happy number.

8126209 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 5303809 = 1680^2 + 2303^2 .

It is not a de Polignac number, because 8126209 - 2³ = 8126201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8126201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5742 + ... + 7015.

It is an arithmetic number, because the mean of its divisors is an integer number (848407).

Almost surely, 2^8126209 is an apocalyptic number.

It is an amenable number.

8126209 is a deficient number, since it is larger than the sum of its proper divisors (2054675).

8126209 is a wasteful number, since it uses less digits than its factorization.

8126209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12784 (or 12777 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 8126209 is about 2850.6506274884. The cubic root of 8126209 is about 201.0462588348.

Subtracting 8126209 from its reverse (9026218), we obtain a palindrome (900009).

It can be divided in two parts, 812 and 6209, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 8126209 in words is "eight million, one hundred twenty-six thousand, two hundred nine".