4117009 has 12 divisors (see below), whose sum is σ = 4723596. Its totient is φ = 3574272.

The previous prime is 4117007. The next prime is 4117021. The reversal of 4117009 is 9007114.

4117009 is nontrivially palindromic in base 12.

4117009 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 6 ways, for example, as 16384 + 4100625 = 128^2 + 2025^2 .

It is not a de Polignac number, because 4117009 - 2¹ = 4117007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117007) 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 11 ways as a sum of consecutive naturals, for example, 2157 + ... + 3589.

It is an arithmetic number, because the mean of its divisors is an integer number (393633).

Almost surely, 2^4117009 is an apocalyptic number.

It is an amenable number.

4117009 is a deficient number, since it is larger than the sum of its proper divisors (606587).

4117009 is a wasteful number, since it uses less digits than its factorization.

4117009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 4117009 is about 2029.0413992819. The cubic root of 4117009 is about 160.2730883146.

The spelling of 4117009 in words is "four million, one hundred seventeen thousand, nine".