82108000 has 96 divisors (see below), whose sum is σ = 217395360. Its totient is φ = 30297600.

The previous prime is 82107983. The next prime is 82108001. The reversal of 82108000 is 80128.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82108001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51211 + ... + 52789.

It is an arithmetic number, because the mean of its divisors is an integer number (2264535).

Almost surely, 2^82108000 is an apocalyptic number.

82108000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108697680).

82108000 is an abundant number, since it is smaller than the sum of its proper divisors (135287360).

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

82108000 is a wasteful number, since it uses less digits than its factorization.

82108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 82108000 is about 9061.3464783110. The cubic root of 82108000 is about 434.6387982350.

Adding to 82108000 its reverse (80128), we get a palindrome (82188128).

The spelling of 82108000 in words is "eighty-two million, one hundred eight thousand".