83273984 has 36 divisors (see below), whose sum is σ = 173462016. Its totient is φ = 39823872.

The previous prime is 83273977. The next prime is 83273987. The reversal of 83273984 is 48937238.

It is a super-2 number, since 2×83273984² = 13869112822464512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83273987) 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 3 ways as a sum of consecutive naturals, for example, 1184 + ... + 12959.

Almost surely, 2^83273984 is an apocalyptic number.

It is an amenable number.

83273984 is an abundant number, since it is smaller than the sum of its proper divisors (90188032).

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

83273984 is a wasteful number, since it uses less digits than its factorization.

83273984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14182 (or 14168 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 83273984 is about 9125.4580159025. The cubic root of 83273984 is about 436.6865149056.

The spelling of 83273984 in words is "eighty-three million, two hundred seventy-three thousand, nine hundred eighty-four".