82097960 has 32 divisors (see below), whose sum is σ = 211109760. Its totient is φ = 28147776.

The previous prime is 82097941. The next prime is 82097963. The reversal of 82097960 is 6979028.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82097963) 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 7 ways as a sum of consecutive naturals, for example, 146324 + ... + 146883.

It is an arithmetic number, because the mean of its divisors is an integer number (6597180).

Almost surely, 2^82097960 is an apocalyptic number.

It is an amenable number.

82097960 is an abundant number, since it is smaller than the sum of its proper divisors (129011800).

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

82097960 is a wasteful number, since it uses less digits than its factorization.

82097960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293225 (or 293221 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 82097960 is about 9060.7924598238. The cubic root of 82097960 is about 434.6210819288.

The spelling of 82097960 in words is "eighty-two million, ninety-seven thousand, nine hundred sixty".