The elastic scattering properties for collisions between ultracold 23 Na and 39 K atoms in the singlet state are investigated. Based on the recent theoretical and experimental results, the improved hybrid potential is presented for the singlet 𝑋 1 ∑︀ + 𝑔 ground state of NaK. By means of the Numerov and semiclassical methods, the values of the s-wave scattering length 𝑎 for the singlet state are calculated to be 33.3757𝑎0 and 37.9399𝑎0, respectively.Pronounced shape resonances appear for the 𝑙 = 1 partial wave for the 𝑋 1 ∑︀ + 𝑔 state. In addition, the s-wave scattering cross section, total cross section and energy positions of shape resonances for the 𝑋 1 ∑︀ + 𝑔 state are discussed.