82582091641 has 27 divisors (see below), whose sum is σ = 97810868493. Its totient is φ = 69520792320.

The previous prime is 82582091639. The next prime is 82582091653. The reversal of 82582091641 is 14619028528.

The square root of 82582091641 is 287371.

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

It can be written as a sum of positive squares in 4 ways, for example, as 40882818025 + 41699273616 = 202195^2 + 204204^2 .

It is not a de Polignac number, because 82582091641 - 2¹ = 82582091639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82582091591 and 82582091600.

It is not an unprimeable number, because it can be changed into a prime (82582091341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 122707081 + ... + 122707753.

It is an arithmetic number, because the mean of its divisors is an integer number (3622624759).

Almost surely, 2^82582091641 is an apocalyptic number.

82582091641 is the 287371-st square number.

82582091641 is the 143686-th centered octagonal number.

It is an amenable number.

82582091641 is a deficient number, since it is larger than the sum of its proper divisors (15228776852).

82582091641 is an frugal number, since it uses more digits than its factorization.

82582091641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 82582091641 in words is "eighty-two billion, five hundred eighty-two million, ninety-one thousand, six hundred forty-one".