8763 has 8 divisors (see below), whose sum is σ = 12288. Its totient is φ = 5544.

The previous prime is 8761. The next prime is 8779. The reversal of 8763 is 3678.

8763 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 8763 - 2¹ = 8761 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8763.

It is not an unprimeable number, because it can be changed into a prime (8761) 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 7 ways as a sum of consecutive naturals, for example, 6 + ... + 132.

It is an arithmetic number, because the mean of its divisors is an integer number (1536).

2⁸⁷⁶³ is an apocalyptic number.

8763 is a deficient number, since it is larger than the sum of its proper divisors (3525).

8763 is a wasteful number, since it uses less digits than its factorization.

8763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153.

The product of its digits is 1008, while the sum is 24.

The square root of 8763 is about 93.6108968016. The cubic root of 8763 is about 20.6166265367.

It can be divided in two parts, 876 and 3, that multiplied together give a triangular number (2628 = T₇₂).

The spelling of 8763 in words is "eight thousand, seven hundred sixty-three".