Subtracting from 3665 its product of digits (540), we obtain a 5-th power (3125 = 55).
3665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-3665 is a prime.
It is a Duffinian number.
It is a Curzon number.
It is a plaindrome in base 13, base 14 and base 15.
It is a nialpdrome in base 16.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3665.
It is an unprimeable number.
It is an amenable number.
3665 is an equidigital number, since it uses as much as digits as its factorization.
3665 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 738.
The square root of 3665 is about 60.5392434707. The cubic root of 3665 is about 15.4178799467.
The spelling of 3665 in words is "three thousand, six hundred sixty-five".