10004681 has 16 divisors (see below), whose sum is σ = 10834560. Its totient is φ = 9219840.

The previous prime is 10004669. The next prime is 10004693. The reversal of 10004681 is 18640001.

It is an interprime number because it is at equal distance from previous prime (10004669) and next prime (10004693).

It is a cyclic number.

It is not a de Polignac number, because 10004681 - 2¹⁰ = 10003657 is a prime.

It is a super-2 number, since 2×10004681² = 200187283823522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10004611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88481 + ... + 88593.

It is an arithmetic number, because the mean of its divisors is an integer number (677160).

It is a Poulet number, since it divides 2^10004680-1.

Almost surely, 2^10004681 is an apocalyptic number.

It is an amenable number.

10004681 is a deficient number, since it is larger than the sum of its proper divisors (829879).

10004681 is a wasteful number, since it uses less digits than its factorization.

10004681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10004681 is about 3163.0177046612. The cubic root of 10004681 is about 215.4770801219.

Adding to 10004681 its reverse (18640001), we get a palindrome (28644682).

The spelling of 10004681 in words is "ten million, four thousand, six hundred eighty-one".