10005663 has 4 divisors (see below), whose sum is σ = 13340888. Its totient is φ = 6670440.

The previous prime is 10005661. The next prime is 10005679. The reversal of 10005663 is 36650001.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 10005663 - 2¹ = 10005661 is a prime.

It is a super-2 number, since 2×10005663² = 200226584139138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005661) 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 3 ways as a sum of consecutive naturals, for example, 1667608 + ... + 1667613.

It is an arithmetic number, because the mean of its divisors is an integer number (3335222).

Almost surely, 2^10005663 is an apocalyptic number.

10005663 is a deficient number, since it is larger than the sum of its proper divisors (3335225).

10005663 is an equidigital number, since it uses as much as digits as its factorization.

10005663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335224.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 10005663 is about 3163.1729323576. The cubic root of 10005663 is about 215.4841298742.

Adding to 10005663 its reverse (36650001), we get a palindrome (46655664).

The spelling of 10005663 in words is "ten million, five thousand, six hundred sixty-three".