10006385 has 12 divisors (see below), whose sum is σ = 12209844. Its totient is φ = 7872480.

The previous prime is 10006351. The next prime is 10006417. The reversal of 10006385 is 58360001.

It can be written as a sum of positive squares in 2 ways, for example, as 5161984 + 4844401 = 2272^2 + 2201^2 .

It is not a de Polignac number, because 10006385 - 2¹⁰ = 10005361 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10006385.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25007 + ... + 25403.

It is an arithmetic number, because the mean of its divisors is an integer number (1017487).

Almost surely, 2^10006385 is an apocalyptic number.

It is an amenable number.

10006385 is a deficient number, since it is larger than the sum of its proper divisors (2203459).

10006385 is an frugal number, since it uses more digits than its factorization.

10006385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 10006385 is about 3163.2870562123. The cubic root of 10006385 is about 215.4893127991.

Adding to 10006385 its reverse (58360001), we get a palindrome (68366386).

The spelling of 10006385 in words is "ten million, six thousand, three hundred eighty-five".