82916712 has 96 divisors (see below), whose sum is σ = 231660000. Its totient is φ = 26782080.

The previous prime is 82916707. The next prime is 82916731. The reversal of 82916712 is 21761928.

It is a super-2 number, since 2×82916712² = 13750362257781888, which contains 22 as substring.

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

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, 556414 + ... + 556562.

It is an arithmetic number, because the mean of its divisors is an integer number (2413125).

Almost surely, 2^82916712 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 82916712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115830000).

82916712 is an abundant number, since it is smaller than the sum of its proper divisors (148743288).

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

82916712 is a wasteful number, since it uses less digits than its factorization.

82916712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 344 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 82916712 is about 9105.8614090046. The cubic root of 82916712 is about 436.0611114295.

The spelling of 82916712 in words is "eighty-two million, nine hundred sixteen thousand, seven hundred twelve".