82170000 has 300 divisors, whose sum is σ = 317260944. Its totient is φ = 19680000.

The previous prime is 82169987. The next prime is 82170019. The reversal of 82170000 is 7128.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 989959 + ... + 990041.

Almost surely, 2^82170000 is an apocalyptic number.

82170000 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 82170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630472).

82170000 is an abundant number, since it is smaller than the sum of its proper divisors (235090944).

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

82170000 is a wasteful number, since it uses less digits than its factorization.

82170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 82170000 is about 9064.7669578429. The cubic root of 82170000 is about 434.7481697359.

Adding to 82170000 its reverse (7128), we get a palindrome (82177128).

The spelling of 82170000 in words is "eighty-two million, one hundred seventy thousand".