10004127 has 16 divisors (see below), whose sum is σ = 16047360. Its totient is φ = 5415552.

The previous prime is 10004119. The next prime is 10004147. The reversal of 10004127 is 72140001.

It is not a de Polignac number, because 10004127 - 2³ = 10004119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004147) 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 15 ways as a sum of consecutive naturals, for example, 12138 + ... + 12935.

It is an arithmetic number, because the mean of its divisors is an integer number (1002960).

Almost surely, 2^10004127 is an apocalyptic number.

10004127 is a deficient number, since it is larger than the sum of its proper divisors (6043233).

10004127 is a wasteful number, since it uses less digits than its factorization.

10004127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25102.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 10004127 is about 3162.9301288520. The cubic root of 10004127 is about 215.4731027668.

Adding to 10004127 its reverse (72140001), we get a palindrome (82144128).

The spelling of 10004127 in words is "ten million, four thousand, one hundred twenty-seven".