820213 has 2 divisors, whose sum is σ = 820214. Its totient is φ = 820212.

The previous prime is 820201. The next prime is 820223. The reversal of 820213 is 312028.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 677329 + 142884 = 823^2 + 378^2 .

It is a cyclic number.

It is not a de Polignac number, because 820213 - 2⁹ = 819701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410106 + 410107.

It is an arithmetic number, because the mean of its divisors is an integer number (410107).

2⁸²⁰²¹³ is an apocalyptic number.

It is an amenable number.

820213 is a deficient number, since it is larger than the sum of its proper divisors (1).

820213 is an equidigital number, since it uses as much as digits as its factorization.

820213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 820213 is about 905.6561157526. The cubic root of 820213 is about 93.6071198349.

The spelling of 820213 in words is "eight hundred twenty thousand, two hundred thirteen".