822541 has 2 divisors, whose sum is σ = 822542. Its totient is φ = 822540.

The previous prime is 822539. The next prime is 822551. The reversal of 822541 is 145228.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 697225 + 125316 = 835^2 + 354^2 .

It is a cyclic number.

It is not a de Polignac number, because 822541 - 2¹ = 822539 is a prime.

Together with 822539, it forms a pair of twin primes.

822541 is a lucky number.

It is equal to p₆₅₆₀₅ and since 822541 and 65605 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (822551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411270 + 411271.

It is an arithmetic number, because the mean of its divisors is an integer number (411271).

2⁸²²⁵⁴¹ is an apocalyptic number.

It is an amenable number.

822541 is a deficient number, since it is larger than the sum of its proper divisors (1).

822541 is an equidigital number, since it uses as much as digits as its factorization.

822541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 640, while the sum is 22.

The square root of 822541 is about 906.9404611109. The cubic root of 822541 is about 93.6955974737.

Adding to 822541 its reverse (145228), we get a palindrome (967769).

The spelling of 822541 in words is "eight hundred twenty-two thousand, five hundred forty-one".