82922130341 has 8 divisors (see below), whose sum is σ = 89456505624. Its totient is φ = 76571822080.

The previous prime is 82922130337. The next prime is 82922130397. The reversal of 82922130341 is 14303122928.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36606786241 + 46315344100 = 191329^2 + 215210^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82922130341 - 2² = 82922130337 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82922130541) 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 7 ways as a sum of consecutive naturals, for example, 46015820 + ... + 46017621.

It is an arithmetic number, because the mean of its divisors is an integer number (11182063203).

Almost surely, 2^82922130341 is an apocalyptic number.

It is an amenable number.

82922130341 is a deficient number, since it is larger than the sum of its proper divisors (6534375283).

82922130341 is a wasteful number, since it uses less digits than its factorization.

82922130341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92033511.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 82922130341 in words is "eighty-two billion, nine hundred twenty-two million, one hundred thirty thousand, three hundred forty-one".