18942 has 32 divisors (see below), whose sum is σ = 48384. Its totient is φ = 4800.

The previous prime is 18919. The next prime is 18947. The reversal of 18942 is 24981.

Its product of digits (576) is a multiple of the sum of its prime divisors (64).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 18942.

It is not an unprimeable number, because it can be changed into a prime (18947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442 + ... + 482.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2¹⁸⁹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192).

18942 is an abundant number, since it is smaller than the sum of its proper divisors (29442).

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

18942 is a wasteful number, since it uses less digits than its factorization.

18942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64.

The product of its digits is 576, while the sum is 24.

The square root of 18942 is about 137.6299386035. The cubic root of 18942 is about 26.6568366546.

It can be divided in two parts, 189 and 42, that added together give a triangular number (231 = T₂₁).

The spelling of 18942 in words is "eighteen thousand, nine hundred forty-two".