82792216 has 64 divisors (see below), whose sum is σ = 175341600. Its totient is φ = 36384768.

The previous prime is 82792183. The next prime is 82792231. The reversal of 82792216 is 61229728.

It is a congruent number.

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, 292411 + ... + 292693.

Almost surely, 2^82792216 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 82792216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87670800).

82792216 is an abundant number, since it is smaller than the sum of its proper divisors (92549384).

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

82792216 is a wasteful number, since it uses less digits than its factorization.

82792216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 424 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 82792216 is about 9099.0228046752. The cubic root of 82792216 is about 435.8427595604.

The spelling of 82792216 in words is "eighty-two million, seven hundred ninety-two thousand, two hundred sixteen".