820763 has 2 divisors, whose sum is σ = 820764. Its totient is φ = 820762.

The previous prime is 820759. The next prime is 820789. The reversal of 820763 is 367028.

It is an a-pointer prime, because the next prime (820789) can be obtained adding 820763 to its sum of digits (26).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 820763 - 2² = 820759 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 820763.

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, 410381 + 410382.

It is an arithmetic number, because the mean of its divisors is an integer number (410382).

2⁸²⁰⁷⁶³ is an apocalyptic number.

820763 is a deficient number, since it is larger than the sum of its proper divisors (1).

820763 is an equidigital number, since it uses as much as digits as its factorization.

820763 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 820763 is about 905.9597121285. The cubic root of 820763 is about 93.6280381461.

The spelling of 820763 in words is "eight hundred twenty thousand, seven hundred sixty-three".