820735049 has 2 divisors, whose sum is σ = 820735050. Its totient is φ = 820735048.

The previous prime is 820734997. The next prime is 820735057. The reversal of 820735049 is 940537028.

820735049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 820421449 + 313600 = 28643^2 + 560^2 .

It is a cyclic number.

It is not a de Polignac number, because 820735049 - 2¹⁶ = 820669513 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (820735099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410367524 + 410367525.

It is an arithmetic number, because the mean of its divisors is an integer number (410367525).

Almost surely, 2^820735049 is an apocalyptic number.

It is an amenable number.

820735049 is a deficient number, since it is larger than the sum of its proper divisors (1).

820735049 is an equidigital number, since it uses as much as digits as its factorization.

820735049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 820735049 is about 28648.4737638849. The cubic root of 820735049 is about 936.2697530299.

The spelling of 820735049 in words is "eight hundred twenty million, seven hundred thirty-five thousand, forty-nine".