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18523 is a prime number
BaseRepresentation
bin100100001011011
3221102001
410201123
51043043
6221431
7105001
oct44133
927361
1018523
1112a0a
12a877
13857b
146a71
15574d
hex485b

18523 has 2 divisors, whose sum is σ = 18524. Its totient is φ = 18522.

The previous prime is 18521. The next prime is 18539. The reversal of 18523 is 32581.

It is a happy number.

18523 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 18523 - 21 = 18521 is a prime.

Together with 18521, it forms a pair of twin primes.

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

18523 is a lucky number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 18523.

It is not a weakly prime, because it can be changed into another prime (18521) 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 as a sum of consecutive naturals, namely, 9261 + 9262.

It is an arithmetic number, because the mean of its divisors is an integer number (9262).

218523 is an apocalyptic number.

18523 is a deficient number, since it is larger than the sum of its proper divisors (1).

18523 is an equidigital number, since it uses as much as digits as its factorization.

18523 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 19.

The square root of 18523 is about 136.0992285063. The cubic root of 18523 is about 26.4588181999.

The spelling of 18523 in words is "eighteen thousand, five hundred twenty-three".