👉 In mathematics, a diabolean number is a positive integer that is equal to the sum of its proper divisors (excluding itself). It is named after the Greek philosopher Diophantus, who studied numbers and their properties. A diabolean number can be defined as any positive integer greater than 1 that has no divisor other than 1 and itself. For example, 6 is a diabolean number because it is equal to 1 + 2 +