82106976 has 96 divisors (see below), whose sum is σ = 250483968. Its totient is φ = 23063040.

The previous prime is 82106971. The next prime is 82106989. The reversal of 82106976 is 67960128.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82106971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39991 + ... + 41993.

It is an arithmetic number, because the mean of its divisors is an integer number (2609208).

Almost surely, 2^82106976 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 82106976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125241984).

82106976 is an abundant number, since it is smaller than the sum of its proper divisors (168376992).

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

82106976 is a wasteful number, since it uses less digits than its factorization.

82106976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 82106976 is about 9061.2899743911. The cubic root of 82106976 is about 434.6369913791.

The spelling of 82106976 in words is "eighty-two million, one hundred six thousand, nine hundred seventy-six".