83382712 has 48 divisors (see below), whose sum is σ = 182689560. Its totient is φ = 35574336.

The previous prime is 83382709. The next prime is 83382757. The reversal of 83382712 is 21728338.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135718 + ... + 136330.

Almost surely, 2^83382712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83382712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91344780).

83382712 is an abundant number, since it is smaller than the sum of its proper divisors (99306848).

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

83382712 is a wasteful number, since it uses less digits than its factorization.

83382712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 969 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 83382712 is about 9131.4134721849. The cubic root of 83382712 is about 436.8764878108.

The spelling of 83382712 in words is "eighty-three million, three hundred eighty-two thousand, seven hundred twelve".