10004727 has 8 divisors (see below), whose sum is σ = 13365360. Its totient is φ = 6656960.

The previous prime is 10004719. The next prime is 10004801. The reversal of 10004727 is 72740001.

10004727 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10004727 - 2³ = 10004719 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004707) 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 7 ways as a sum of consecutive naturals, for example, 1224 + ... + 4637.

It is an arithmetic number, because the mean of its divisors is an integer number (1670670).

Almost surely, 2^10004727 is an apocalyptic number.

10004727 is a deficient number, since it is larger than the sum of its proper divisors (3360633).

10004727 is an equidigital number, since it uses as much as digits as its factorization.

10004727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6433.

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 10004727 is about 3163.0249761897. The cubic root of 10004727 is about 215.4774103650.

Adding to 10004727 its reverse (72740001), we get a palindrome (82744728).

It can be divided in two parts, 10004 and 727, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 10004727 in words is "ten million, four thousand, seven hundred twenty-seven".