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18793 is a prime number
BaseRepresentation
bin100100101101001
3221210001
410211221
51100133
6223001
7105535
oct44551
927701
1018793
1113135
12aa61
138728
146bc5
15587d
hex4969

18793 has 2 divisors, whose sum is σ = 18794. Its totient is φ = 18792.

The previous prime is 18787. The next prime is 18797. The reversal of 18793 is 39781.

It can be divided in two parts, 187 and 93, that multiplied together give a triangular number (17391 = T186).

18793 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 1369 = 132^2 + 37^2 .

It is a cyclic number.

It is not a de Polignac number, because 18793 - 213 = 10601 is a prime.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (18797) 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, 9396 + 9397.

It is an arithmetic number, because the mean of its divisors is an integer number (9397).

218793 is an apocalyptic number.

It is an amenable number.

18793 is a deficient number, since it is larger than the sum of its proper divisors (1).

18793 is an equidigital number, since it uses as much as digits as its factorization.

18793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 28.

The square root of 18793 is about 137.0875632579. The cubic root of 18793 is about 26.5867573105.

The spelling of 18793 in words is "eighteen thousand, seven hundred ninety-three".