82971108 has 96 divisors (see below), whose sum is σ = 236490240. Its totient is φ = 24948000.

The previous prime is 82971071. The next prime is 82971113. The reversal of 82971108 is 80117928.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250503 + ... + 250833.

It is an arithmetic number, because the mean of its divisors is an integer number (2463440).

Almost surely, 2^82971108 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 82971108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118245120).

82971108 is an abundant number, since it is smaller than the sum of its proper divisors (153519132).

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

82971108 is a wasteful number, since it uses less digits than its factorization.

82971108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 82971108 is about 9108.8477866303. The cubic root of 82971108 is about 436.1564472370.

The spelling of 82971108 in words is "eighty-two million, nine hundred seventy-one thousand, one hundred eight".