820884073 has 2 divisors, whose sum is σ = 820884074. Its totient is φ = 820884072.

The previous prime is 820883993. The next prime is 820884079. The reversal of 820884073 is 370488028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 753118249 + 67765824 = 27443^2 + 8232^2 .

It is a cyclic number.

It is not a de Polignac number, because 820884073 - 2⁹ = 820883561 is a prime.

It is a super-2 number, since 2×820884073² = 1347701322610138658, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (820884079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410442036 + 410442037.

It is an arithmetic number, because the mean of its divisors is an integer number (410442037).

Almost surely, 2^820884073 is an apocalyptic number.

It is an amenable number.

820884073 is a deficient number, since it is larger than the sum of its proper divisors (1).

820884073 is an equidigital number, since it uses as much as digits as its factorization.

820884073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 820884073 is about 28651.0745522746. The cubic root of 820884073 is about 936.3264169598.

The spelling of 820884073 in words is "eight hundred twenty million, eight hundred eighty-four thousand, seventy-three".