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27017 is a prime number

27017 has 2 divisors, whose sum is σ = 27018. Its totient is φ = 27016.

The previous prime is 27011. The next prime is 27031. The reversal of 27017 is 71072.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26896 + 121 = 164^2 + 11^2 .

It is a cyclic number.

It is not a de Polignac number, because 27017 - 26 = 26953 is a prime.

It is a Chen prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 26986 and 27004.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27017.

It is not a weakly prime, because it can be changed into another prime (27011) 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, 13508 + 13509.

It is an arithmetic number, because the mean of its divisors is an integer number (13509).

227017 is an apocalyptic number.

It is an amenable number.

27017 is a deficient number, since it is larger than the sum of its proper divisors (1).

27017 is an equidigital number, since it uses as much as digits as its factorization.

27017 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 27017 is about 164.3684884642. The cubic root of 27017 is about 30.0062949753.

Subtracting from 27017 its sum of digits (17), we obtain a cube (27000 = 303).

Adding to 27017 its reverse (71072), we get a palindrome (98089).

The spelling of 27017 in words is "twenty-seven thousand, seventeen", and thus it is an iban number.