820793 has 2 divisors, whose sum is σ = 820794. Its totient is φ = 820792.

The previous prime is 820789. The next prime is 820837. The reversal of 820793 is 397028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 426409 + 394384 = 653^2 + 628^2 .

It is a cyclic number.

It is not a de Polignac number, because 820793 - 2² = 820789 is a prime.

It is a super-2 number, since 2×820793² = 1347402297698, which contains 22 as substring.

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 (820723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410396 + 410397.

It is an arithmetic number, because the mean of its divisors is an integer number (410397).

2⁸²⁰⁷⁹³ is an apocalyptic number.

It is an amenable number.

820793 is a deficient number, since it is larger than the sum of its proper divisors (1).

820793 is an equidigital number, since it uses as much as digits as its factorization.

820793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 820793 is about 905.9762690049. The cubic root of 820793 is about 93.6291788761.

The spelling of 820793 in words is "eight hundred twenty thousand, seven hundred ninety-three".