82984704 has 216 divisors, whose sum is σ = 260977920. Its totient is φ = 23316480.

The previous prime is 82984691. The next prime is 82984709. The reversal of 82984704 is 40748928.

It is a super-2 number, since 2×82984704² = 13772922195935232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82984709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1765609 + ... + 1765655.

Almost surely, 2^82984704 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 82984704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130488960).

82984704 is an abundant number, since it is smaller than the sum of its proper divisors (177993216).

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

82984704 is a wasteful number, since it uses less digits than its factorization.

82984704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 82984704 is about 9109.5940634037. The cubic root of 82984704 is about 436.1802694217.

The spelling of 82984704 in words is "eighty-two million, nine hundred eighty-four thousand, seven hundred four".