Geodesic
On A theorem of Niven
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 109-110

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In [3], Niven proved that for any positive integer k, the density of the set of positive integers n for which (n, (φ(n))≤k is zero (where φ is the Euler to tient function). In this paper, we prove a related result—namely if k and j are any positive integers, then the density of the set of positive integers n for which (n,σj(n))≤k is zero (where σj(n) is the sum of the jth powers of the positive divisors of n). We will borrow from Niven’s technique, but we must make some crucial modifications. 
On A theorem of Niven. Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 109-110. doi: 10.4153/CMB-1974-019-5
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     doi = {10.4153/CMB-1974-019-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-019-5/}
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