10004125 has 16 divisors (see below), whose sum is σ = 12587328. Its totient is φ = 7938000.

The previous prime is 10004119. The next prime is 10004147. The reversal of 10004125 is 52140001.

10004125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10004125 - 2⁹ = 10003613 is a prime.

It is a Duffinian number.

10004125 is a modest number, since divided by 4125 gives 1000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20130 + ... + 20620.

It is an arithmetic number, because the mean of its divisors is an integer number (786708).

Almost surely, 2^10004125 is an apocalyptic number.

It is an amenable number.

10004125 is a deficient number, since it is larger than the sum of its proper divisors (2583203).

10004125 is an equidigital number, since it uses as much as digits as its factorization.

10004125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 10004125 is about 3162.9298126895. The cubic root of 10004125 is about 215.4730884079.

Adding to 10004125 its reverse (52140001), we get a palindrome (62144126).

The spelling of 10004125 in words is "ten million, four thousand, one hundred twenty-five".