82837073201 has 2 divisors, whose sum is σ = 82837073202. Its totient is φ = 82837073200.

The previous prime is 82837073197. The next prime is 82837073233. The reversal of 82837073201 is 10237073828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77200066801 + 5637006400 = 277849^2 + 75080^2 .

It is a cyclic number.

It is not a de Polignac number, because 82837073201 - 2² = 82837073197 is a prime.

It is not a weakly prime, because it can be changed into another prime (82837073251) 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 as a sum of consecutive naturals, namely, 41418536600 + 41418536601.

It is an arithmetic number, because the mean of its divisors is an integer number (41418536601).

Almost surely, 2^82837073201 is an apocalyptic number.

It is an amenable number.

82837073201 is a deficient number, since it is larger than the sum of its proper divisors (1).

82837073201 is an equidigital number, since it uses as much as digits as its factorization.

82837073201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 82837073201 in words is "eighty-two billion, eight hundred thirty-seven million, seventy-three thousand, two hundred one".