18205 has 8 divisors (see below), whose sum is σ = 23904. Its totient is φ = 13200.

The previous prime is 18199. The next prime is 18211. The reversal of 18205 is 50281.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18199) and next prime (18211).

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

It is not a de Polignac number, because 18205 - 2⁷ = 18077 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 220.

It is an arithmetic number, because the mean of its divisors is an integer number (2988).

2¹⁸²⁰⁵ is an apocalyptic number.

It is an amenable number.

18205 is a deficient number, since it is larger than the sum of its proper divisors (5699).

18205 is a wasteful number, since it uses less digits than its factorization.

18205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 18205 is about 134.9259055927. The cubic root of 18205 is about 26.3065297246.

Adding to 18205 its reverse (50281), we get a palindrome (68486).

The spelling of 18205 in words is "eighteen thousand, two hundred five".