18738 has 16 divisors (see below), whose sum is σ = 41760. Its totient is φ = 6228.

The previous prime is 18731. The next prime is 18743. The reversal of 18738 is 83781.

It is a super-2 number, since 2×18738² = 702225288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (18731) 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, 120 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (2610).

2¹⁸⁷³⁸ is an apocalyptic number.

18738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

18738 is an abundant number, since it is smaller than the sum of its proper divisors (23022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20880).

18738 is a wasteful number, since it uses less digits than its factorization.

18738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 18738 is about 136.8868145586. The cubic root of 18738 is about 26.5607955077.

It can be divided in two parts, 1873 and 8, that added together give a palindrome (1881).

The spelling of 18738 in words is "eighteen thousand, seven hundred thirty-eight".