4633 has 4 divisors (see below), whose sum is σ = 4788. Its totient is φ = 4480.

The previous prime is 4621. The next prime is 4637. The reversal of 4633 is 3364.

It is a happy number.

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

It can be written as a sum of positive squares in 2 ways, for example, as 144 + 4489 = 12^2 + 67^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4633 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16 + ... + 97.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

2⁴⁶³³ is an apocalyptic number.

It is an amenable number.

4633 is a deficient number, since it is larger than the sum of its proper divisors (155).

4633 is a wasteful number, since it uses less digits than its factorization.

4633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154.

The product of its digits is 216, while the sum is 16.

The square root of 4633 is about 68.0661443010. The cubic root of 4633 is about 16.6707101301.

Adding to 4633 its reverse (3364), we get a palindrome (7997).

The spelling of 4633 in words is "four thousand, six hundred thirty-three".