10005643 has 4 divisors (see below), whose sum is σ = 10015488. Its totient is φ = 9995800.

The previous prime is 10005641. The next prime is 10005661. The reversal of 10005643 is 34650001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 34650001 = 5437 ⋅6373.

It is a cyclic number.

It is not a de Polignac number, because 10005643 - 2¹ = 10005641 is a prime.

It is a super-2 number, since 2×10005643² = 200225783686898, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10005643.

It is not an unprimeable number, because it can be changed into a prime (10005641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3196 + ... + 5497.

It is an arithmetic number, because the mean of its divisors is an integer number (2503872).

Almost surely, 2^10005643 is an apocalyptic number.

10005643 is a deficient number, since it is larger than the sum of its proper divisors (9845).

10005643 is an equidigital number, since it uses as much as digits as its factorization.

10005643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9844.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 10005643 is about 3163.1697709734. The cubic root of 10005643 is about 215.4839862994.

Adding to 10005643 its reverse (34650001), we get a palindrome (44655644).

It can be divided in two parts, 10005 and 643, that added together give a cube (10648 = 22³).

The spelling of 10005643 in words is "ten million, five thousand, six hundred forty-three".