Divisors Function$\sigma _{k}(n)$ Prime Factors Functions$\omega(n)~\Omega(n)$ Euler's Phi or Totient Function$\varphi(n)$ Möbius's Function$\mu(n)$ Mertens's Function$M(n)$ Liouville's Function$\lambda_{Liouville}(n)$ Mangoldt's Function$\Lambda(n)$ 1st Tchebychev's Function$\vartheta(n)$ 2nd Tchebychev's Function$\psi(n)$ Legendre's Function${Legendre_{x}}^{y}$ Carmichael's Function$\lambda_{Carmichael}(n)$ Jordan's Function$J_{k}(n)$ Ramanujan's Sum$C_{q}(n)$ Dedekind's Function$\psi_{Dedekind}(n)$ Graph Nodes & Edges GCD & LCM