82170630 has 96 divisors (see below), whose sum is σ = 232783200. Its totient is φ = 20030976.

The previous prime is 82170589. The next prime is 82170653. The reversal of 82170630 is 3607128.

82170630 is a `hidden beast` number, since 8 + 21 + 7 + 0 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82170594 and 82170603.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48762 + ... + 50418.

It is an arithmetic number, because the mean of its divisors is an integer number (2424825).

Almost surely, 2^82170630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82170630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116391600).

82170630 is an abundant number, since it is smaller than the sum of its proper divisors (150612570).

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

82170630 is a wasteful number, since it uses less digits than its factorization.

82170630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 82170630 is about 9064.8017077044. The cubic root of 82170630 is about 434.7492808091.

Adding to 82170630 its reverse (3607128), we get a palindrome (85777758).

The spelling of 82170630 in words is "eighty-two million, one hundred seventy thousand, six hundred thirty".