18884 has 6 divisors (see below), whose sum is σ = 33054. Its totient is φ = 9440.

The previous prime is 18869. The next prime is 18899. The reversal of 18884 is 48881.

It is an interprime number because it is at equal distance from previous prime (18869) and next prime (18899).

It can be written as a sum of positive squares in only one way, i.e., 16384 + 2500 = 128^2 + 50^2 .

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2357 + ... + 2364.

It is an arithmetic number, because the mean of its divisors is an integer number (5509).

2¹⁸⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

18884 is a deficient number, since it is larger than the sum of its proper divisors (14170).

18884 is a wasteful number, since it uses less digits than its factorization.

18884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725 (or 4723 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 18884 is about 137.4190670904. The cubic root of 18884 is about 26.6296012825.

Subtracting from 18884 its product of digits (2048), we obtain a triangular number (16836 = T₁₈₃).

It can be divided in two parts, 188 and 84, that added together give a palindrome (272).

The spelling of 18884 in words is "eighteen thousand, eight hundred eighty-four".