10565 has 4 divisors (see below), whose sum is σ = 12684. Its totient is φ = 8448.

The previous prime is 10559. The next prime is 10567. The reversal of 10565 is 56501.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1156 + 9409 = 34^2 + 97^2 .

It is a cyclic number.

It is not a de Polignac number, because 10565 - 2⁶ = 10501 is a prime.

It is a super-2 number, since 2×10565² = 223238450, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1052 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (3171).

It is an amenable number.

10565 is a deficient number, since it is larger than the sum of its proper divisors (2119).

10565 is an equidigital number, since it uses as much as digits as its factorization.

10565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118.

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 10565 is about 102.7861858423. The cubic root of 10565 is about 21.9426882938.

It can be divided in two parts, 10 and 565, that added together give a palindrome (575).

The spelling of 10565 in words is "ten thousand, five hundred sixty-five".