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Correlations in the properties of the static compact stars (CSs) and the onesrotating with the highest observed frequency of 1122Hz are studied using alarge set of equations of state (EOSs). These EOSs span various approaches andtheir chemical composition vary from the nucleons to hyperons and quarks in$\beta$-equilibrium. It is found that the properties of static CS, like, themaximum gravitational mass $M_{\rm max}^{\rm stat}$ and radius $R_{1.4}^{\rmstat}$ corresponding to t he canonical mass and supramassive ornon-supramassive nature of the CS rotating at 1122 Hz are strongly correlated.In particular, only those EOSs yield the CS rotating at 1122Hz to benon-supramassive for which $\left (\frac{M_{\rm max}^{\rm stat}}{M_\odot}\right)^{1/2} \left (\frac{10{\rm km}}{R_{1.4}^{\rm stat}})^{3/2} $ is greater thanunity. Suitable parametric form which can be used to split the $M_{\rmmax}^{\rm stat}$ $-$ $R_{1.4}^{\rm stat}$ plane into the regions of differentsupramassive nature of the CS rotating at 1122Hz is presented. Currentlymeasured maximum gravitational mass 1.76$M_\odot$ of PSR J0437-4715 suggeststhat the CS rotating at 1122Hz can be non-supramassive provided $R_{1.4}^{\rmstat} \leqslant 12.4$ km.

Correlations in the properties of static and rapidly rotating compact stars