In this paper, we show that the sequences of arithmetic, geometric and harmonic means of the first $n$ values of the Euler function are all three dense modulo $1$. This answers in the affirmative a question of A. Schinzel.
"On the distribution of some means concerning the Euler function." Funct. Approx. Comment. Math. 39 (2) 335 - 344, December 2008. https://doi.org/10.7169/facm/1229696579