10005565 has 8 divisors (see below), whose sum is σ = 12126168. Its totient is φ = 7924800.

The previous prime is 10005559. The next prime is 10005581. The reversal of 10005565 is 56550001.

10005565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 599076 + 9406489 = 774^2 + 3067^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10005565 - 2⁹ = 10005053 is a prime.

It is a super-2 number, since 2×10005565² = 200222661938450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9402 + ... + 10411.

It is an arithmetic number, because the mean of its divisors is an integer number (1515771).

Almost surely, 2^10005565 is an apocalyptic number.

It is an amenable number.

10005565 is a deficient number, since it is larger than the sum of its proper divisors (2120603).

10005565 is a wasteful number, since it uses less digits than its factorization.

10005565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19919.

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 10005565 is about 3163.1574415448. The cubic root of 10005565 is about 215.4834263555.

Adding to 10005565 its reverse (56550001), we get a palindrome (66555566).

The spelling of 10005565 in words is "ten million, five thousand, five hundred sixty-five".