823009361 has 2 divisors, whose sum is σ = 823009362. Its totient is φ = 823009360.

The previous prime is 823009337. The next prime is 823009393. The reversal of 823009361 is 163900328.

It is an a-pointer prime, because the next prime (823009393) can be obtained adding 823009361 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 822599761 + 409600 = 28681^2 + 640^2 .

It is a cyclic number.

It is not a de Polignac number, because 823009361 - 2¹⁰ = 823008337 is a prime.

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 (823009261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411504680 + 411504681.

It is an arithmetic number, because the mean of its divisors is an integer number (411504681).

Almost surely, 2^823009361 is an apocalyptic number.

It is an amenable number.

823009361 is a deficient number, since it is larger than the sum of its proper divisors (1).

823009361 is an equidigital number, since it uses as much as digits as its factorization.

823009361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 823009361 is about 28688.1397270719. The cubic root of 823009361 is about 937.1337775748.

Adding to 823009361 its reverse (163900328), we get a palindrome (986909689).

The spelling of 823009361 in words is "eight hundred twenty-three million, nine thousand, three hundred sixty-one".