18049 has 2 divisors, whose sum is σ = 18050. Its totient is φ = 18048.

The previous prime is 18047. The next prime is 18059. The reversal of 18049 is 94081.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 625 = 132^2 + 25^2 .

It is a cyclic number.

It is not a de Polignac number, because 18049 - 2¹ = 18047 is a prime.

Together with 18047, it forms a pair of twin primes.

18049 is a lucky number.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (18041) by changing a digit.

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, 9024 + 9025.

It is an arithmetic number, because the mean of its divisors is an integer number (9025).

2¹⁸⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

18049 is a deficient number, since it is larger than the sum of its proper divisors (1).

18049 is an equidigital number, since it uses as much as digits as its factorization.

18049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 18049 is about 134.3465667593. The cubic root of 18049 is about 26.2311731973.

The spelling of 18049 in words is "eighteen thousand, forty-nine".