10007005 has 16 divisors (see below), whose sum is σ = 12418560. Its totient is φ = 7736832.

The previous prime is 10006987. The next prime is 10007021. The reversal of 10007005 is 50070001.

It is a cyclic number.

It is not a de Polignac number, because 10007005 - 2⁵ = 10006973 is a prime.

It is a super-3 number, since 3×10007005³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 22576 + ... + 23014.

It is an arithmetic number, because the mean of its divisors is an integer number (776160).

Almost surely, 2^10007005 is an apocalyptic number.

It is an amenable number.

10007005 is a deficient number, since it is larger than the sum of its proper divisors (2411555).

10007005 is an equidigital number, since it uses as much as digits as its factorization.

10007005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 10007005 is about 3163.3850540205. The cubic root of 10007005 is about 215.4937633113.

Adding to 10007005 its reverse (50070001), we get a palindrome (60077006).

The spelling of 10007005 in words is "ten million, seven thousand, five".