3683 has 4 divisors (see below), whose sum is σ = 3840. Its totient is φ = 3528.

The previous prime is 3677. The next prime is 3691. The reversal of 3683 is 3863.

3683 = T₃₂ + T₃₃ + ... + T₃₇.

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

It is a cyclic number.

It is not a de Polignac number, because 3683 - 2¹⁰ = 2659 is a prime.

It is a cake number, because a cake can be divided into 3683 parts by 28 planar cuts.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35 + ... + 92.

It is an arithmetic number, because the mean of its divisors is an integer number (960).

3683 is a deficient number, since it is larger than the sum of its proper divisors (157).

3683 is a wasteful number, since it uses less digits than its factorization.

3683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156.

The product of its digits is 432, while the sum is 20.

The square root of 3683 is about 60.6877252828. The cubic root of 3683 is about 15.4430794685.

Subtracting from 3683 its sum of digits (20), we obtain a palindrome (3663).

It can be divided in two parts, 3 and 683, that added together give a palindrome (686).

The spelling of 3683 in words is "three thousand, six hundred eighty-three".