18208 has 12 divisors (see below), whose sum is σ = 35910. Its totient is φ = 9088.

The previous prime is 18199. The next prime is 18211. The reversal of 18208 is 80281.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 784 = 132^2 + 28^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253 + ... + 316.

2¹⁸²⁰⁸ is an apocalyptic number.

It is an amenable number.

18208 is a deficient number, since it is larger than the sum of its proper divisors (17702).

18208 is an equidigital number, since it uses as much as digits as its factorization.

18208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 18208 is about 134.9370223475. The cubic root of 18208 is about 26.3079746620.

Adding to 18208 its product of nonzero digits (128), we get a triangular number (18336 = T₁₉₁).

Adding to 18208 its reverse (80281), we get a palindrome (98489).

The spelling of 18208 in words is "eighteen thousand, two hundred eight".