83384072 has 32 divisors (see below), whose sum is σ = 159792600. Its totient is φ = 40780800.

The previous prime is 83384071. The next prime is 83384089. The reversal of 83384072 is 27048338.

It can be written as a sum of positive squares in 4 ways, for example, as 43112356 + 40271716 = 6566^2 + 6346^2 .

It is not an unprimeable number, because it can be changed into a prime (83384071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117254 + ... + 117962.

Almost surely, 2^83384072 is an apocalyptic number.

It is an amenable number.

83384072 is a deficient number, since it is larger than the sum of its proper divisors (76408528).

83384072 is a wasteful number, since it uses less digits than its factorization.

83384072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 83384072 is about 9131.4879400895. The cubic root of 83384072 is about 436.8788629986.

The spelling of 83384072 in words is "eighty-three million, three hundred eighty-four thousand, seventy-two".