CategoricalIndex.shape return a tuple of the shape of the underlying data

CategoricalIndex.is_monotonic_increasing return if the index is monotonic increasing (only

CategoricalIndex.is_categorical()

CategoricalIndex.str()

CategoricalIndex.set_categories(*args, **kwargs)

CategoricalIndex.remove_unused_categories(*args, **kwargs)

CategoricalIndex.max(*args, **kwargs)

CategoricalIndex.itemsize return the size of the dtype of the item of the underlying data

CategoricalIndex.ordered

CategoricalIndex.base return the base object if the memory of the underlying data is shared