18741 has 4 divisors (see below), whose sum is σ = 24992. Its totient is φ = 12492.

The previous prime is 18731. The next prime is 18743. The reversal of 18741 is 14781.

18741 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 18741 - 2⁹ = 18229 is a prime.

It is a D-number.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 3121 + ... + 3126.

It is an arithmetic number, because the mean of its divisors is an integer number (6248).

2¹⁸⁷⁴¹ is an apocalyptic number.

It is an amenable number.

18741 is a deficient number, since it is larger than the sum of its proper divisors (6251).

18741 is an equidigital number, since it uses as much as digits as its factorization.

18741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250.

The product of its digits is 224, while the sum is 21.

The square root of 18741 is about 136.8977720783. The cubic root of 18741 is about 26.5622129150.

It can be divided in two parts, 187 and 41, that multiplied together give a palindrome (7667).

The spelling of 18741 in words is "eighteen thousand, seven hundred forty-one".