82982016 has 128 divisors (see below), whose sum is σ = 263894400. Its totient is φ = 25519104.

The previous prime is 82981993. The next prime is 82982017. The reversal of 82982016 is 61028928.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82982017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44005 + ... + 45851.

It is an arithmetic number, because the mean of its divisors is an integer number (2061675).

Almost surely, 2^82982016 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 82982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131947200).

82982016 is an abundant number, since it is smaller than the sum of its proper divisors (180912384).

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

82982016 is a wasteful number, since it uses less digits than its factorization.

82982016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 82982016 is about 9109.4465254482. The cubic root of 82982016 is about 436.1755598581.

The spelling of 82982016 in words is "eighty-two million, nine hundred eighty-two thousand, sixteen".