820073 has 2 divisors, whose sum is σ = 820074. Its totient is φ = 820072.

The previous prime is 820067. The next prime is 820093. The reversal of 820073 is 370028.

It is an a-pointer prime, because the next prime (820093) can be obtained adding 820073 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 619369 + 200704 = 787^2 + 448^2 .

It is a cyclic number.

It is not a de Polignac number, because 820073 - 2¹² = 815977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (820093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410036 + 410037.

It is an arithmetic number, because the mean of its divisors is an integer number (410037).

2⁸²⁰⁰⁷³ is an apocalyptic number.

It is an amenable number.

820073 is a deficient number, since it is larger than the sum of its proper divisors (1).

820073 is an equidigital number, since it uses as much as digits as its factorization.

820073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 820073 is about 905.5788204237. The cubic root of 820073 is about 93.6017936808.

The spelling of 820073 in words is "eight hundred twenty thousand, seventy-three".