823121441 has 2 divisors, whose sum is σ = 823121442. Its totient is φ = 823121440.

The previous prime is 823121407. The next prime is 823121459. The reversal of 823121441 is 144121328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 611127841 + 211993600 = 24721^2 + 14560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-823121441 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 823121441.

It is not a weakly prime, because it can be changed into another prime (823121491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411560720 + 411560721.

It is an arithmetic number, because the mean of its divisors is an integer number (411560721).

Almost surely, 2^823121441 is an apocalyptic number.

It is an amenable number.

823121441 is a deficient number, since it is larger than the sum of its proper divisors (1).

823121441 is an equidigital number, since it uses as much as digits as its factorization.

823121441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1536, while the sum is 26.

The square root of 823121441 is about 28690.0930810620. The cubic root of 823121441 is about 937.1763162510.

Adding to 823121441 its reverse (144121328), we get a palindrome (967242769).

The spelling of 823121441 in words is "eight hundred twenty-three million, one hundred twenty-one thousand, four hundred forty-one".