82716312 has 96 divisors (see below), whose sum is σ = 247183920. Its totient is φ = 22982400.

The previous prime is 82716301. The next prime is 82716341. The reversal of 82716312 is 21361728.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 82716312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42562 + ... + 44462.

Almost surely, 2^82716312 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 82716312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123591960).

82716312 is an abundant number, since it is smaller than the sum of its proper divisors (164467608).

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

82716312 is a wasteful number, since it uses less digits than its factorization.

82716312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1950 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 82716312 is about 9094.8508508936. The cubic root of 82716312 is about 435.7095251192.

It can be divided in two parts, 82716 and 312, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 82716312 in words is "eighty-two million, seven hundred sixteen thousand, three hundred twelve".