Bacteria are microscopic single-celled prokaryotes that can be classified based on their shape, staining properties, and whether they require oxygen. They have a cell membrane and cell wall, and may possess structures like flagella, pili, and capsules. Bacteria contain a single circular chromosome as their genetic material within a nucleoid region of the cell but lack membrane-bound organelles. They can reproduce asexually through binary fission and be both helpful and harmful to humans.