82165500 has 216 divisors, whose sum is σ = 281932560. Its totient is φ = 20088000.

The previous prime is 82165463. The next prime is 82165507. The reversal of 82165500 is 556128.

82165500 is a `hidden beast` number, since 8 + 2 + 1 + 655 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82165507) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2650485 + ... + 2650515.

Almost surely, 2^82165500 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 82165500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140966280).

82165500 is an abundant number, since it is smaller than the sum of its proper divisors (199767060).

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

82165500 is a wasteful number, since it uses less digits than its factorization.

82165500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 82165500 is about 9064.5187406723. The cubic root of 82165500 is about 434.7402333339.

The spelling of 82165500 in words is "eighty-two million, one hundred sixty-five thousand, five hundred".