Deficient numbers were first introduced in Nicomachus' Introductio Arithmetica (circa 100). The first few deficient numbers are 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, ... (Sloane's A005100).
An infinite number of both even and odd deficient numbers exist; for example, all prime numbers, prime powers and all proper divisors of deficient or perfect numbers are deficient.