3633 has 8 divisors (see below), whose sum is σ = 5568. Its totient is φ = 2064.

The previous prime is 3631. The next prime is 3637. The reversal of 3633 is 3363.

3633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3633 - 2¹ = 3631 is a prime.

3633 is a lucky number.

It is a plaindrome in base 14 and base 15.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 107.

It is an arithmetic number, because the mean of its divisors is an integer number (696).

It is an amenable number.

3633 is a deficient number, since it is larger than the sum of its proper divisors (1935).

3633 is a wasteful number, since it uses less digits than its factorization.

3633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183.

The product of its digits is 162, while the sum is 15.

The square root of 3633 is about 60.2743726637. The cubic root of 3633 is about 15.3728763013.

Adding to 3633 its reverse (3363), we get a palindrome (6996).

It can be divided in two parts, 363 and 3, that multiplied together give a square (1089 = 33²).

The spelling of 3633 in words is "three thousand, six hundred thirty-three".