18542 has 8 divisors (see below), whose sum is σ = 28416. Its totient is φ = 9072.

The previous prime is 18541. The next prime is 18553. The reversal of 18542 is 24581.

It is a sphenic number, since it is the product of 3 distinct primes.

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 18542.

It is not an unprimeable number, because it can be changed into a prime (18541) 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, 83 + ... + 209.

It is an arithmetic number, because the mean of its divisors is an integer number (3552).

2¹⁸⁵⁴² is an apocalyptic number.

18542 is a deficient number, since it is larger than the sum of its proper divisors (9874).

18542 is a wasteful number, since it uses less digits than its factorization.

18542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202.

The product of its digits is 320, while the sum is 20.

The square root of 18542 is about 136.1690126277. The cubic root of 18542 is about 26.4678618349.

The spelling of 18542 in words is "eighteen thousand, five hundred forty-two".