83282016 has 48 divisors (see below), whose sum is σ = 230126400. Its totient is φ = 26299008.

The previous prime is 83281993. The next prime is 83282041. The reversal of 83282016 is 61028238.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21006 + ... + 24653.

It is an arithmetic number, because the mean of its divisors is an integer number (4794300).

Almost surely, 2^83282016 is an apocalyptic number.

It is an amenable number.

83282016 is an abundant number, since it is smaller than the sum of its proper divisors (146844384).

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

83282016 is a wasteful number, since it uses less digits than its factorization.

83282016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45691 (or 45683 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 83282016 is about 9125.8980927906. The cubic root of 83282016 is about 436.7005543177.

The spelling of 83282016 in words is "eighty-three million, two hundred eighty-two thousand, sixteen".