18736 has 10 divisors (see below), whose sum is σ = 36332. Its totient is φ = 9360.

The previous prime is 18731. The next prime is 18743. The reversal of 18736 is 63781.

It is a self number, because there is not a number n which added to its sum of digits gives 18736.

It is not an unprimeable number, because it can be changed into a prime (18731) by changing a digit.

18736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 570 + ... + 601.

2¹⁸⁷³⁶ is an apocalyptic number.

18736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18736 is a deficient number, since it is larger than the sum of its proper divisors (17596).

18736 is a wasteful number, since it uses less digits than its factorization.

18736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

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

The square root of 18736 is about 136.8795090581. The cubic root of 18736 is about 26.5598504854.

The spelling of 18736 in words is "eighteen thousand, seven hundred thirty-six".