820973249 has 2 divisors, whose sum is σ = 820973250. Its totient is φ = 820973248.

The previous prime is 820973239. The next prime is 820973273. The reversal of 820973249 is 942379028.

820973249 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., 818818225 + 2155024 = 28615^2 + 1468^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820973249 is a prime.

It is not a weakly prime, because it can be changed into another prime (820973239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410486624 + 410486625.

It is an arithmetic number, because the mean of its divisors is an integer number (410486625).

Almost surely, 2^820973249 is an apocalyptic number.

It is an amenable number.

820973249 is a deficient number, since it is larger than the sum of its proper divisors (1).

820973249 is an equidigital number, since it uses as much as digits as its factorization.

820973249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 820973249 is about 28652.6307518175. The cubic root of 820973249 is about 936.3603213903.

The spelling of 820973249 in words is "eight hundred twenty million, nine hundred seventy-three thousand, two hundred forty-nine".