820133 has 2 divisors, whose sum is σ = 820134. Its totient is φ = 820132.

The previous prime is 820129. The next prime is 820163. The reversal of 820133 is 331028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 487204 + 332929 = 698^2 + 577^2 .

It is a cyclic number.

It is not a de Polignac number, because 820133 - 2² = 820129 is a prime.

It is a Sophie Germain prime.

It is an Ulam number.

It is a Curzon number.

It is a zygodrome in base 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410066 + 410067.

It is an arithmetic number, because the mean of its divisors is an integer number (410067).

2⁸²⁰¹³³ is an apocalyptic number.

It is an amenable number.

820133 is a deficient number, since it is larger than the sum of its proper divisors (1).

820133 is an equidigital number, since it uses as much as digits as its factorization.

820133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 820133 is about 905.6119478010. The cubic root of 820133 is about 93.6040763925.

The spelling of 820133 in words is "eight hundred twenty thousand, one hundred thirty-three".