82724824921 has 2 divisors, whose sum is σ = 82724824922. Its totient is φ = 82724824920.

The previous prime is 82724824877. The next prime is 82724824951. The reversal of 82724824921 is 12942842728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81747387225 + 977437696 = 285915^2 + 31264^2 .

It is a cyclic number.

It is not a de Polignac number, because 82724824921 - 2¹³ = 82724816729 is a prime.

It is not a weakly prime, because it can be changed into another prime (82724824951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41362412460 + 41362412461.

It is an arithmetic number, because the mean of its divisors is an integer number (41362412461).

Almost surely, 2^82724824921 is an apocalyptic number.

It is an amenable number.

82724824921 is a deficient number, since it is larger than the sum of its proper divisors (1).

82724824921 is an equidigital number, since it uses as much as digits as its factorization.

82724824921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1032192, while the sum is 49.

The spelling of 82724824921 in words is "eighty-two billion, seven hundred twenty-four million, eight hundred twenty-four thousand, nine hundred twenty-one".