2110909 has 2 divisors, whose sum is σ = 2110910. Its totient is φ = 2110908.

The previous prime is 2110891. The next prime is 2110921. The reversal of 2110909 is 9090112.

2110909 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., 1651225 + 459684 = 1285^2 + 678^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110909 - 2⁵ = 2110877 is a prime.

2110909 is a modest number, since divided by 909 gives 211 as remainder.

2110909 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2110909.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2110949) 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, 1055454 + 1055455.

It is an arithmetic number, because the mean of its divisors is an integer number (1055455).

2^2110909 is an apocalyptic number.

It is an amenable number.

2110909 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110909 is an equidigital number, since it uses as much as digits as its factorization.

2110909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 2110909 is about 1452.8967616455. The cubic root of 2110909 is about 128.2792770970.

The spelling of 2110909 in words is "two million, one hundred ten thousand, nine hundred nine".