82249077681 has 9 divisors (see below), whose sum is σ = 118805466091. Its totient is φ = 54832144872.

The previous prime is 82249077679. The next prime is 82249077709. The reversal of 82249077681 is 18677094228.

It is a happy number.

The square root of 82249077681 is 286791.

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

82249077681 is a `hidden beast` number, since 8 + 2 + 2 + 490 + 7 + 76 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 386712225 + 81862365456 = 19665^2 + 286116^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 82249077681 - 2¹ = 82249077679 is a prime.

It is a super-2 number, since 2×82249077681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82249073681) by changing a digit.

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, 812575 + ... + 908171.

Almost surely, 2^82249077681 is an apocalyptic number.

82249077681 is the 286791-st square number.

82249077681 is the 143396-th centered octagonal number.

It is an amenable number.

82249077681 is a deficient number, since it is larger than the sum of its proper divisors (36556388410).

82249077681 is an frugal number, since it uses more digits than its factorization.

82249077681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191200 (or 95600 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 82249077681 in words is "eighty-two billion, two hundred forty-nine million, seventy-seven thousand, six hundred eighty-one".