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17027 is a prime number
BaseRepresentation
bin100001010000011
3212100122
410022003
51021102
6210455
7100433
oct41203
925318
1017027
111187a
129a2b
13799a
1462c3
1550a2
hex4283

17027 has 2 divisors, whose sum is σ = 17028. Its totient is φ = 17026.

The previous prime is 17021. The next prime is 17029. The reversal of 17027 is 72071.

Adding to 17027 its reverse (72071), we get a palindrome (89098).

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 17027 - 24 = 17011 is a prime.

Together with 17029, it forms a pair of twin primes.

It is a Chen prime.

17027 is a modest number, since divided by 27 gives 17 as remainder.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 16996 and 17014.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 17027.

It is not a weakly prime, because it can be changed into another prime (17021) 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, 8513 + 8514.

It is an arithmetic number, because the mean of its divisors is an integer number (8514).

217027 is an apocalyptic number.

17027 is a deficient number, since it is larger than the sum of its proper divisors (1).

17027 is an equidigital number, since it uses as much as digits as its factorization.

17027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 17027 is about 130.4875472986. The cubic root of 17027 is about 25.7264213735.

The spelling of 17027 in words is "seventeen thousand, twenty-seven", and thus it is an iban number.