3665 has 4 divisors (see below), whose sum is σ = 4404. Its totient is φ = 2928.

The previous prime is 3659. The next prime is 3671. The reversal of 3665 is 5663.

Subtracting from 3665 its product of digits (540), we obtain a 5-th power (3125 = 5^{5}).

It can be divided in two parts, 366 and 5, that multiplied together give a triangular number (1830 = T_{60}).

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 semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5663 = 7 ⋅809.

It is an interprime number because it is at equal distance from previous prime (3659) and next prime (3671).

It can be written as a sum of positive squares in 2 ways, for example, as 2704 + 961 = 52^2 + 31^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-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 a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 362 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (1101).

It is an amenable number.

3665 is a deficient number, since it is larger than the sum of its proper divisors (739).

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 product of its digits is 540, while the sum is 20.

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".

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