41565 has 16 divisors (see below), whose sum is σ = 70848. Its totient is φ = 20736.

The previous prime is 41549. The next prime is 41579. The reversal of 41565 is 56514.

It is a happy number.

41565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41565 - 2⁴ = 41549 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41565.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (4428).

2⁴¹⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

41565 is a deficient number, since it is larger than the sum of its proper divisors (29283).

41565 is a wasteful number, since it uses less digits than its factorization.

41565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188.

The product of its digits is 600, while the sum is 21.

The square root of 41565 is about 203.8749616799. The cubic root of 41565 is about 34.6398440613.

It can be divided in two parts, 41 and 565, that added together give a palindrome (606).

The spelling of 41565 in words is "forty-one thousand, five hundred sixty-five".