82164324 has 72 divisors (see below), whose sum is σ = 213966144. Its totient is φ = 24516800.

The previous prime is 82164317. The next prime is 82164343. The reversal of 82164324 is 42346128.

It is a super-2 number, since 2×82164324² = 13501952276753952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82164291 and 82164300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102694 + ... + 103490.

It is an arithmetic number, because the mean of its divisors is an integer number (2971752).

Almost surely, 2^82164324 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 82164324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106983072).

82164324 is an abundant number, since it is smaller than the sum of its proper divisors (131801820).

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

82164324 is a wasteful number, since it uses less digits than its factorization.

82164324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 884 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 82164324 is about 9064.4538721315. The cubic root of 82164324 is about 434.7381592397.

The spelling of 82164324 in words is "eighty-two million, one hundred sixty-four thousand, three hundred twenty-four".