82107516 has 48 divisors (see below), whose sum is σ = 200648448. Its totient is φ = 26083200.

The previous prime is 82107503. The next prime is 82107563. The reversal of 82107516 is 61570128.

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, 143511 + ... + 144081.

It is an arithmetic number, because the mean of its divisors is an integer number (4180176).

Almost surely, 2^82107516 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 82107516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100324224).

82107516 is an abundant number, since it is smaller than the sum of its proper divisors (118540932).

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

82107516 is a wasteful number, since it uses less digits than its factorization.

82107516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 82107516 is about 9061.3197714240. The cubic root of 82107516 is about 434.6379442151.

The spelling of 82107516 in words is "eighty-two million, one hundred seven thousand, five hundred sixteen".