18763 has 4 divisors (see below), whose sum is σ = 19440. Its totient is φ = 18088.

The previous prime is 18757. The next prime is 18773. The reversal of 18763 is 36781.

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

It is a cyclic number.

It is not a de Polignac number, because 18763 - 2⁵ = 18731 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18713) 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 3 ways as a sum of consecutive naturals, for example, 295 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2¹⁸⁷⁶³ is an apocalyptic number.

18763 is a deficient number, since it is larger than the sum of its proper divisors (677).

18763 is an equidigital number, since it uses as much as digits as its factorization.

18763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676.

The product of its digits is 1008, while the sum is 25.

The square root of 18763 is about 136.9781004394. The cubic root of 18763 is about 26.5726026162.

It can be divided in two parts, 187 and 63, that multiplied together give a triangular number (11781 = T₁₅₃).

The spelling of 18763 in words is "eighteen thousand, seven hundred sixty-three".