82086834064 has 45 divisors (see below), whose sum is σ = 163110322641. Its totient is φ = 40019437440.

The previous prime is 82086834047. The next prime is 82086834113. The reversal of 82086834064 is 46043868028.

The square root of 82086834064 is 286508.

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., 3955403664 + 78131430400 = 62892^2 + 279520^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82086833999 and 82086834017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46986439 + ... + 46988185.

Almost surely, 2^82086834064 is an apocalyptic number.

82086834064 is the 286508-th square number.

It is an amenable number.

82086834064 is a deficient number, since it is larger than the sum of its proper divisors (81023488577).

82086834064 is an frugal number, since it uses more digits than its factorization.

82086834064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 49.

Multiplying 82086834064 by its sum of digits (49), we get a square (4022254869136 = 2005556²).

The spelling of 82086834064 in words is "eighty-two billion, eighty-six million, eight hundred thirty-four thousand, sixty-four".