Rare-earth-based magnet powder, bonded magnet, bonded magnet compound, sintered magnet, method of manufacturing rare-earth-based magnet powder, and method of manufacturing rare-earth based permanent magnet

A rare-earth-based magnet powder whose average value of sphericity P1 defined by an equation (1) of P1=Ls/Ll is 0.65 or more, comprising coated particles including single crystal particles each consisting of a single main phase grain and having a surrounding surface at least partly covered with a coating layer, wherein

• Ll in the equation (1) is a length of a long side of a rectangle that circumscribes the rare-earth-based magnet powder in a photomicrograph so that an area of the rectangle is minimized;
• Ls in the equation (1) is a length of a short side of the rectangle that circumscribes the rare-earth-based magnet powder in the photomicrograph so that the area of the rectangle is minimized;
• a quantity proportion of the single crystal particles in the rare-earth-based magnet powder is 65% or more;
• a mean particle diameter of the rare-earth-based magnet powder is 0.5-10 μm;
• the coating layer comprises a rare-earth rich component having a higher concentration of rare-earth elements than a concentration of the main phase grain;
• and
• the quantity proportion of the rare-earth-based magnet powder having the sphericity P1 of 0.9 or more is 30% or more.