10008005 has 12 divisors (see below), whose sum is σ = 13970700. Its totient is φ = 6862464.

The previous prime is 10007983. The next prime is 10008023. The reversal of 10008005 is 50080001.

10008005 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5207524 + 4800481 = 2282^2 + 2191^2 .

It is not a de Polignac number, because 10008005 - 2¹⁸ = 9745861 is a prime.

10008005 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20180 + ... + 20669.

It is an arithmetic number, because the mean of its divisors is an integer number (1164225).

Almost surely, 2^10008005 is an apocalyptic number.

It is an amenable number.

10008005 is a deficient number, since it is larger than the sum of its proper divisors (3962695).

10008005 is an equidigital number, since it uses as much as digits as its factorization.

10008005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40868 (or 40861 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 10008005 is about 3163.5431086047. The cubic root of 10008005 is about 215.5009411694.

Adding to 10008005 its reverse (50080001), we get a palindrome (60088006).

The spelling of 10008005 in words is "ten million, eight thousand, five".