82975106916 has 135 divisors (see below), whose sum is σ = 235073431593. Its totient is φ = 25510062240.

The previous prime is 82975106887. The next prime is 82975106927. The reversal of 82975106916 is 61960157928.

The square root of 82975106916 is 288054.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12274424100 + 70700682816 = 110790^2 + 265896^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 67404021 + ... + 67405251.

Almost surely, 2^82975106916 is an apocalyptic number.

82975106916 is the 288054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82975106916

82975106916 is an abundant number, since it is smaller than the sum of its proper divisors (152098324677).

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

82975106916 is a wasteful number, since it uses less digits than its factorization.

82975106916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 82975106916 in words is "eighty-two billion, nine hundred seventy-five million, one hundred six thousand, nine hundred sixteen".