822761 has 2 divisors, whose sum is σ = 822762. Its totient is φ = 822760.

The previous prime is 822743. The next prime is 822763. The reversal of 822761 is 167228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 755161 + 67600 = 869^2 + 260^2 .

It is a cyclic number.

It is not a de Polignac number, because 822761 - 2⁶ = 822697 is a prime.

Together with 822763, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 822761.

It is not a weakly prime, because it can be changed into another prime (822763) 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, 411380 + 411381.

It is an arithmetic number, because the mean of its divisors is an integer number (411381).

2⁸²²⁷⁶¹ is an apocalyptic number.

It is an amenable number.

822761 is a deficient number, since it is larger than the sum of its proper divisors (1).

822761 is an equidigital number, since it uses as much as digits as its factorization.

822761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 26.

The square root of 822761 is about 907.0617399053. The cubic root of 822761 is about 93.7039501248.

Adding to 822761 its reverse (167228), we get a palindrome (989989).

The spelling of 822761 in words is "eight hundred twenty-two thousand, seven hundred sixty-one".