3627 has 12 divisors (see below), whose sum is σ = 5824. Its totient is φ = 2160.

The previous prime is 3623. The next prime is 3631. The reversal of 3627 is 7263.

3627 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (3623) and next prime (3631).

It is not a de Polignac number, because 3627 - 2² = 3623 is a prime.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3627.

It is not an unprimeable number, because it can be changed into a prime (3623) 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 11 ways as a sum of consecutive naturals, for example, 102 + ... + 132.

3627 is a deficient number, since it is larger than the sum of its proper divisors (2197).

3627 is a wasteful number, since it uses less digits than its factorization.

3627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 47 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 3627 is about 60.2245796997. The cubic root of 3627 is about 15.3644087279.

Subtracting from 3627 its product of digits (252), we obtain a cube (3375 = 15³).

It can be divided in two parts, 3 and 627, that multiplied together give a palindrome (1881).

The spelling of 3627 in words is "three thousand, six hundred twenty-seven".