4004109 has 6 divisors (see below), whose sum is σ = 5783726. Its totient is φ = 2669400.

The previous prime is 4004089. The next prime is 4004137. The reversal of 4004109 is 9014004.

4004109 is digitally balanced in base 2, 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 only one way, i.e., 3861225 + 142884 = 1965^2 + 378^2 .

It is not a de Polignac number, because 4004109 - 2⁷ = 4003981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4004091 and 4004100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004179) 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 5 ways as a sum of consecutive naturals, for example, 222442 + ... + 222459.

Almost surely, 2^4004109 is an apocalyptic number.

It is an amenable number.

4004109 is a deficient number, since it is larger than the sum of its proper divisors (1779617).

4004109 is a wasteful number, since it uses less digits than its factorization.

4004109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444907 (or 444904 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4004109 is about 2001.0269863248. The cubic root of 4004109 is about 158.7944418530.

The spelling of 4004109 in words is "four million, four thousand, one hundred nine".