820973273 has 2 divisors, whose sum is σ = 820973274. Its totient is φ = 820973272.

The previous prime is 820973249. The next prime is 820973287. The reversal of 820973273 is 372379028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 698914969 + 122058304 = 26437^2 + 11048^2 .

It is a cyclic number.

It is not a de Polignac number, because 820973273 - 2¹⁴ = 820956889 is a prime.

It is a super-2 number, since 2×820973273² = 1347994229960665058, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 820973273.

It is not a weakly prime, because it can be changed into another prime (820973203) 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, 410486636 + 410486637.

It is an arithmetic number, because the mean of its divisors is an integer number (410486637).

Almost surely, 2^820973273 is an apocalyptic number.

It is an amenable number.

820973273 is a deficient number, since it is larger than the sum of its proper divisors (1).

820973273 is an equidigital number, since it uses as much as digits as its factorization.

820973273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 820973273 is about 28652.6311706272. The cubic root of 820973273 is about 936.3603305147.

The spelling of 820973273 in words is "eight hundred twenty million, nine hundred seventy-three thousand, two hundred seventy-three".