Properties of $p$-ary bent functions that are at minimal distance from each other

It is proved that, in the case of prime $p$, the minimal Hamming distance between distinct $p$-ary bent functions in $2n$ variables is equal to $p^n$. It is shown that for $p>2$ the number of $p$-ary bent functions being on the minimal distance from a quadratic bent function is equal to $p^n(p^{n-1}+1)\cdots(p+1)(p-1)$.