10004931 has 16 divisors (see below), whose sum is σ = 15467520. Its totient is φ = 6379560.

The previous prime is 10004923. The next prime is 10004941. The reversal of 10004931 is 13940001.

It is not a de Polignac number, because 10004931 - 2³ = 10004923 is a prime.

It is a super-2 number, since 2×10004931² = 200197288629522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10004921) 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 15 ways as a sum of consecutive naturals, for example, 7435 + ... + 8676.

It is an arithmetic number, because the mean of its divisors is an integer number (966720).

Almost surely, 2^10004931 is an apocalyptic number.

10004931 is a deficient number, since it is larger than the sum of its proper divisors (5462589).

10004931 is a wasteful number, since it uses less digits than its factorization.

10004931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16143 (or 16137 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10004931 is about 3163.0572236367. The cubic root of 10004931 is about 215.4788749091.

Adding to 10004931 its reverse (13940001), we get a palindrome (23944932).

The spelling of 10004931 in words is "ten million, four thousand, nine hundred thirty-one".