2210009 has 2 divisors, whose sum is σ = 2210010. Its totient is φ = 2210008.

The previous prime is 2209997. The next prime is 2210011. The reversal of 2210009 is 9000122.

2210009 is digitally balanced in base 2, because in such base 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., 1570009 + 640000 = 1253^2 + 800^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210009 - 2⁴ = 2209993 is a prime.

It is a Sophie Germain prime.

Together with 2210011, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2209975 and 2210002.

It is not a weakly prime, because it can be changed into another prime (2210029) 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 as a sum of consecutive naturals, namely, 1105004 + 1105005.

It is an arithmetic number, because the mean of its divisors is an integer number (1105005).

2^2210009 is an apocalyptic number.

It is an amenable number.

2210009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210009 is an equidigital number, since it uses as much as digits as its factorization.

2210009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2210009 is about 1486.6099017563. The cubic root of 2210009 is about 130.2560829900.

The spelling of 2210009 in words is "two million, two hundred ten thousand, nine".