82358892 has 216 divisors, whose sum is σ = 272269088. Its totient is φ = 20528640.

The previous prime is 82358891. The next prime is 82358921. The reversal of 82358892 is 29885328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82358891) 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 71 ways as a sum of consecutive naturals, for example, 1128168 + ... + 1128240.

Almost surely, 2^82358892 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 82358892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136134544).

82358892 is an abundant number, since it is smaller than the sum of its proper divisors (189910196).

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

82358892 is a wasteful number, since it uses less digits than its factorization.

82358892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 82358892 is about 9075.1799982149. The cubic root of 82358892 is about 435.0810471263.

The spelling of 82358892 in words is "eighty-two million, three hundred fifty-eight thousand, eight hundred ninety-two".