18745 has 8 divisors (see below), whose sum is σ = 23616. Its totient is φ = 14256.

The previous prime is 18743. The next prime is 18749. The reversal of 18745 is 54781.

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

It is a 4-Lehmer number, since φ(18745) divides (18745-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 18745 - 2¹ = 18743 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

18745 is a lucky number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (18743) 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 7 ways as a sum of consecutive naturals, for example, 34 + ... + 196.

It is an arithmetic number, because the mean of its divisors is an integer number (2952).

2¹⁸⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

18745 is a deficient number, since it is larger than the sum of its proper divisors (4871).

18745 is a wasteful number, since it uses less digits than its factorization.

18745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191.

The product of its digits is 1120, while the sum is 25.

The square root of 18745 is about 136.9123807404. The cubic root of 18745 is about 26.5641025561.

It can be divided in two parts, 187 and 45, that added together give a palindrome (232).

The spelling of 18745 in words is "eighteen thousand, seven hundred forty-five".