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2917 is a prime number
BaseRepresentation
bin101101100101
311000001
4231211
543132
621301
711335
oct5545
94001
102917
112212
121831
131435
1410c5
15ce7
hexb65

2917 has 2 divisors, whose sum is σ = 2918. Its totient is φ = 2916.

The previous prime is 2909. The next prime is 2927. The reversal of 2917 is 7192.

It is a Cunningham number, because it is equal to 542+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 1 = 54^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 2917 - 23 = 2909 is a prime.

It is a plaindrome in base 7.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2894 and 2903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a Pierpont prime, being equal to 22 ⋅ 36 + 1.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1458 + 1459.

It is an arithmetic number, because the mean of its divisors is an integer number (1459).

It is an amenable number.

2917 is a deficient number, since it is larger than the sum of its proper divisors (1).

2917 is an equidigital number, since it uses as much as digits as its factorization.

2917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 19.

The square root of 2917 is about 54.0092584656. The cubic root of 2917 is about 14.2882424097.

The spelling of 2917 in words is "two thousand, nine hundred seventeen".