820048849 has 2 divisors, whose sum is σ = 820048850. Its totient is φ = 820048848.

The previous prime is 820048819. The next prime is 820048967. The reversal of 820048849 is 948840028.

820048849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 717168400 + 102880449 = 26780^2 + 10143^2 .

It is a cyclic number.

It is not a de Polignac number, because 820048849 - 2⁹ = 820048337 is a prime.

It is a super-2 number, since 2×820048849² = 1344960229492449602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (820048819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410024424 + 410024425.

It is an arithmetic number, because the mean of its divisors is an integer number (410024425).

Almost surely, 2^820048849 is an apocalyptic number.

It is an amenable number.

820048849 is a deficient number, since it is larger than the sum of its proper divisors (1).

820048849 is an equidigital number, since it uses as much as digits as its factorization.

820048849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 820048849 is about 28636.4950543882. The cubic root of 820048849 is about 936.0087481985.

The spelling of 820048849 in words is "eight hundred twenty million, forty-eight thousand, eight hundred forty-nine".