10004409 has 12 divisors (see below), whose sum is σ = 14506596. Its totient is φ = 6643872.

The previous prime is 10004399. The next prime is 10004411. The reversal of 10004409 is 90440001.

It can be written as a sum of positive squares in 2 ways, for example, as 5076009 + 4928400 = 2253^2 + 2220^2 .

It is not a de Polignac number, because 10004409 - 2⁵ = 10004377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10004391 and 10004400.

It is not an unprimeable number, because it can be changed into a prime (10004459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487 + ... + 4499.

It is an arithmetic number, because the mean of its divisors is an integer number (1208883).

Almost surely, 2^10004409 is an apocalyptic number.

It is an amenable number.

10004409 is a deficient number, since it is larger than the sum of its proper divisors (4502187).

10004409 is a wasteful number, since it uses less digits than its factorization.

10004409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4293 counting only the distinct ones).

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

The square root of 10004409 is about 3162.9747074550. The cubic root of 10004409 is about 215.4751273594.

The spelling of 10004409 in words is "ten million, four thousand, four hundred nine".