8733 has 8 divisors (see below), whose sum is σ = 12096. Its totient is φ = 5600.

The previous prime is 8731. The next prime is 8737. The reversal of 8733 is 3378.

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

It is a cyclic number.

It is not a de Polignac number, because 8733 - 2¹ = 8731 is a prime.

It is a Curzon number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8731) 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, 88 + ... + 158.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2⁸⁷³³ is an apocalyptic number.

It is an amenable number.

8733 is a deficient number, since it is larger than the sum of its proper divisors (3363).

8733 is a wasteful number, since it uses less digits than its factorization.

8733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115.

The product of its digits is 504, while the sum is 21.

The square root of 8733 is about 93.4505216679. The cubic root of 8733 is about 20.5930727328.

It can be divided in two parts, 87 and 33, that added together give a triangular number (120 = T₁₅).

The spelling of 8733 in words is "eight thousand, seven hundred thirty-three".