9905409 has 12 divisors (see below), whose sum is σ = 14838096. Its totient is φ = 6603444.

The previous prime is 9905383. The next prime is 9905411. The reversal of 9905409 is 9045099.

It is not a de Polignac number, because 9905409 - 2⁵ = 9905377 is a prime.

9905409 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9905419) 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, 20139 + ... + 20624.

It is an arithmetic number, because the mean of its divisors is an integer number (1236508).

Almost surely, 2^9905409 is an apocalyptic number.

It is an amenable number.

9905409 is a deficient number, since it is larger than the sum of its proper divisors (4932687).

9905409 is an equidigital number, since it uses as much as digits as its factorization.

9905409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40778 (or 40766 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9905409 is about 3147.2859736605. The cubic root of 9905409 is about 214.7620153800.

The spelling of 9905409 in words is "nine million, nine hundred five thousand, four hundred nine".