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18217 is a prime number
BaseRepresentation
bin100011100101001
3220222201
410130221
51040332
6220201
7104053
oct43451
926881
1018217
1112761
12a661
1383a4
1468d3
1555e7
hex4729

18217 has 2 divisors, whose sum is σ = 18218. Its totient is φ = 18216.

The previous prime is 18211. The next prime is 18223. The reversal of 18217 is 71281.

It is a balanced prime because it is at equal distance from previous prime (18211) and next prime (18223).

It can be written as a sum of positive squares in only one way, i.e., 13456 + 4761 = 116^2 + 69^2 .

It is a cyclic number.

It is not a de Polignac number, because 18217 - 27 = 18089 is a prime.

It is a Chen prime.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 18194 and 18203.

It is not a weakly prime, because it can be changed into another prime (18211) 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, 9108 + 9109.

It is an arithmetic number, because the mean of its divisors is an integer number (9109).

218217 is an apocalyptic number.

It is an amenable number.

18217 is a deficient number, since it is larger than the sum of its proper divisors (1).

18217 is an equidigital number, since it uses as much as digits as its factorization.

18217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 112, while the sum is 19.

The square root of 18217 is about 134.9703671181. The cubic root of 18217 is about 26.3123085220.

Adding to 18217 its reverse (71281), we get a palindrome (89498).

The spelling of 18217 in words is "eighteen thousand, two hundred seventeen".