82046727844 has 27 divisors (see below), whose sum is σ = 144513094593. Its totient is φ = 40758981648.

The previous prime is 82046727839. The next prime is 82046727863. The reversal of 82046727844 is 44872764028.

The square root of 82046727844 is 286438.

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., 80389260900 + 1657466944 = 283530^2 + 40712^2 .

It is a super-3 number, since 3×82046727844³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82046727791 and 82046727800.

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 8 ways as a sum of consecutive naturals, for example, 112856209 + ... + 112856935.

Almost surely, 2^82046727844 is an apocalyptic number.

82046727844 is the 286438-th square number.

It is an amenable number.

82046727844 is a deficient number, since it is larger than the sum of its proper divisors (62466366749).

82046727844 is an frugal number, since it uses more digits than its factorization.

82046727844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 52.

The spelling of 82046727844 in words is "eighty-two billion, forty-six million, seven hundred twenty-seven thousand, eight hundred forty-four".