820333 has 2 divisors, whose sum is σ = 820334. Its totient is φ = 820332.

The previous prime is 820331. The next prime is 820343. The reversal of 820333 is 333028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 751689 + 68644 = 867^2 + 262^2 .

It is a cyclic number.

It is not a de Polignac number, because 820333 - 2¹ = 820331 is a prime.

Together with 820331, it forms a pair of twin primes.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 820333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410166 + 410167.

It is an arithmetic number, because the mean of its divisors is an integer number (410167).

2⁸²⁰³³³ is an apocalyptic number.

It is an amenable number.

820333 is a deficient number, since it is larger than the sum of its proper divisors (1).

820333 is an equidigital number, since it uses as much as digits as its factorization.

820333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 820333 is about 905.7223636413. The cubic root of 820333 is about 93.6116846274.

The spelling of 820333 in words is "eight hundred twenty thousand, three hundred thirty-three".