10004067 has 14 divisors (see below), whose sum is σ = 15000332. Its totient is φ = 6668892.

The previous prime is 10004063. The next prime is 10004119. The reversal of 10004067 is 76040001.

It is not a de Polignac number, because 10004067 - 2² = 10004063 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10004063) 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 13 ways as a sum of consecutive naturals, for example, 6133 + ... + 7590.

Almost surely, 2^10004067 is an apocalyptic number.

10004067 is a deficient number, since it is larger than the sum of its proper divisors (4996265).

10004067 is an frugal number, since it uses more digits than its factorization.

10004067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13741 (or 13726 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10004067 is about 3162.9206439618. The cubic root of 10004067 is about 215.4726719975.

Adding to 10004067 its reverse (76040001), we get a palindrome (86044068).

The spelling of 10004067 in words is "ten million, four thousand, sixty-seven".