82148000821 has 2 divisors, whose sum is σ = 82148000822. Its totient is φ = 82148000820.

The previous prime is 82148000731. The next prime is 82148000849. The reversal of 82148000821 is 12800084128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60300204721 + 21847796100 = 245561^2 + 147810^2 .

It is a cyclic number.

It is not a de Polignac number, because 82148000821 - 2³¹ = 80000517173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82148000021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41074000410 + 41074000411.

It is an arithmetic number, because the mean of its divisors is an integer number (41074000411).

Almost surely, 2^82148000821 is an apocalyptic number.

It is an amenable number.

82148000821 is a deficient number, since it is larger than the sum of its proper divisors (1).

82148000821 is an equidigital number, since it uses as much as digits as its factorization.

82148000821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8192, while the sum is 34.

Adding to 82148000821 its reverse (12800084128), we get a palindrome (94948084949).

The spelling of 82148000821 in words is "eighty-two billion, one hundred forty-eight million, eight hundred twenty-one", and thus it is an aban number.