82872882 has 40 divisors (see below), whose sum is σ = 186833196. Its totient is φ = 27455328.

The previous prime is 82872869. The next prime is 82872893. The reversal of 82872882 is 28827828.

It can be written as a sum of positive squares in 2 ways, for example, as 82464561 + 408321 = 9081^2 + 639^2 .

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 19 ways as a sum of consecutive naturals, for example, 26548 + ... + 29504.

Almost surely, 2^82872882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82872882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93416598).

82872882 is an abundant number, since it is smaller than the sum of its proper divisors (103960314).

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

82872882 is a wasteful number, since it uses less digits than its factorization.

82872882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3135 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 82872882 is about 9103.4543992926. The cubic root of 82872882 is about 435.9842635232.

The spelling of 82872882 in words is "eighty-two million, eight hundred seventy-two thousand, eight hundred eighty-two".