82947216 has 80 divisors (see below), whose sum is σ = 247537728. Its totient is φ = 23654400.

The previous prime is 82947197. The next prime is 82947247. The reversal of 82947216 is 61274928.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4356 + ... + 13596.

Almost surely, 2^82947216 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 82947216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123768864).

82947216 is an abundant number, since it is smaller than the sum of its proper divisors (164590512).

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

82947216 is a wasteful number, since it uses less digits than its factorization.

82947216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9280 (or 9274 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 82947216 is about 9107.5362200762. The cubic root of 82947216 is about 436.1145786457.

The spelling of 82947216 in words is "eighty-two million, nine hundred forty-seven thousand, two hundred sixteen".