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2017 is a prime number
BaseRepresentation
bin11111100001
32202201
4133201
531032
613201
75611
oct3741
92681
102017
111574
121201
13bc2
14a41
158e7
hex7e1

2017 has 2 divisors, whose sum is σ = 2018. Its totient is φ = 2016.

The previous prime is 2011. The next prime is 2027. The reversal of 2017 is 7102.

It is an a-pointer prime, because the next prime (2027) can be obtained adding 2017 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1936 + 81 = 44^2 + 9^2 .

It is a cyclic number.

It is not a de Polignac number, because 2017 - 27 = 1889 is a prime.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 2017 parts by 63 straight cuts.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1994 and 2012.

It is not a weakly prime, because it can be changed into another prime (2011) 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, 1008 + 1009.

It is an arithmetic number, because the mean of its divisors is an integer number (1009).

It is an amenable number.

2017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2017 is an equidigital number, since it uses as much as digits as its factorization.

2017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 2017 is about 44.9110231458. The cubic root of 2017 is about 12.6348075933.

The spelling of 2017 in words is "two thousand, seventeen", and is thus an iban number.