82165000 has 40 divisors (see below), whose sum is σ = 192524310. Its totient is φ = 32864000.

The previous prime is 82164991. The next prime is 82165003. The reversal of 82165000 is 56128.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 15350724 + 66814276 = 3918^2 + 8174^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (82165003) 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 9 ways as a sum of consecutive naturals, for example, 3217 + ... + 13216.

Almost surely, 2^82165000 is an apocalyptic number.

It is an amenable number.

82165000 is an abundant number, since it is smaller than the sum of its proper divisors (110359310).

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

82165000 is a wasteful number, since it uses less digits than its factorization.

82165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16459 (or 16440 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 82165000 is about 9064.4911605672. The cubic root of 82165000 is about 434.7393514935.

The spelling of 82165000 in words is "eighty-two million, one hundred sixty-five thousand".