823522961 has 2 divisors, whose sum is σ = 823522962. Its totient is φ = 823522960.

The previous prime is 823522943. The next prime is 823522979. The reversal of 823522961 is 169225328.

823522961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (823522943) and next prime (823522979).

It can be written as a sum of positive squares in only one way, i.e., 793492561 + 30030400 = 28169^2 + 5480^2 .

It is a cyclic number.

It is not a de Polignac number, because 823522961 - 2⁶ = 823522897 is a prime.

It is not a weakly prime, because it can be changed into another prime (823522901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411761480 + 411761481.

It is an arithmetic number, because the mean of its divisors is an integer number (411761481).

Almost surely, 2^823522961 is an apocalyptic number.

It is an amenable number.

823522961 is a deficient number, since it is larger than the sum of its proper divisors (1).

823522961 is an equidigital number, since it uses as much as digits as its factorization.

823522961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51840, while the sum is 38.

The square root of 823522961 is about 28697.0897653403. The cubic root of 823522961 is about 937.3286768654.

The spelling of 823522961 in words is "eight hundred twenty-three million, five hundred twenty-two thousand, nine hundred sixty-one".