820273 has 2 divisors, whose sum is σ = 820274. Its totient is φ = 820272.

The previous prime is 820271. The next prime is 820279. The reversal of 820273 is 372028.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 685584 + 134689 = 828^2 + 367^2 .

It is a cyclic number.

It is not a de Polignac number, because 820273 - 2¹ = 820271 is a prime.

Together with 820271, it forms a pair of twin primes.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (820271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410136 + 410137.

It is an arithmetic number, because the mean of its divisors is an integer number (410137).

2⁸²⁰²⁷³ is an apocalyptic number.

It is an amenable number.

820273 is a deficient number, since it is larger than the sum of its proper divisors (1).

820273 is an equidigital number, since it uses as much as digits as its factorization.

820273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 820273 is about 905.6892403027. The cubic root of 820273 is about 93.6094022868.

The spelling of 820273 in words is "eight hundred twenty thousand, two hundred seventy-three".