10004031 has 6 divisors (see below), whose sum is σ = 14450280. Its totient is φ = 6669348.

The previous prime is 10004017. The next prime is 10004039. The reversal of 10004031 is 13040001.

It is not a de Polignac number, because 10004031 - 2⁵ = 10003999 is a prime.

It is a super-2 number, since 2×10004031² = 200161272497922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1111559 = 10004031 / (1 + 0 + 0 + 0 + 4 + 0 + 3 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004039) 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 5 ways as a sum of consecutive naturals, for example, 555771 + ... + 555788.

It is an arithmetic number, because the mean of its divisors is an integer number (2408380).

Almost surely, 2^10004031 is an apocalyptic number.

10004031 is a deficient number, since it is larger than the sum of its proper divisors (4446249).

10004031 is a wasteful number, since it uses less digits than its factorization.

10004031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111565 (or 1111562 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10004031 is about 3162.9149530141. The cubic root of 10004031 is about 215.4724135351.

Adding to 10004031 its reverse (13040001), we get a palindrome (23044032).

The spelling of 10004031 in words is "ten million, four thousand, thirty-one".