83283984 has 80 divisors (see below), whose sum is σ = 273216640. Its totient is φ = 23794560.

The previous prime is 83283983. The next prime is 83284009. The reversal of 83283984 is 48938238.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83283983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10747 + ... + 16794.

It is an arithmetic number, because the mean of its divisors is an integer number (3415208).

Almost surely, 2^83283984 is an apocalyptic number.

83283984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83283984 is an abundant number, since it is smaller than the sum of its proper divisors (189932656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83283984 is a wasteful number, since it uses less digits than its factorization.

83283984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27565 (or 27553 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 83283984 is about 9126.0059171578. The cubic root of 83283984 is about 436.7039941156.

The spelling of 83283984 in words is "eighty-three million, two hundred eighty-three thousand, nine hundred eighty-four".