13564961 has 2 divisors, whose sum is σ = 13564962. Its totient is φ = 13564960.

The previous prime is 13564937. The next prime is 13564981. The reversal of 13564961 is 16946531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13278736 + 286225 = 3644^2 + 535^2 .

It is a cyclic number.

It is not a de Polignac number, because 13564961 - 2⁶ = 13564897 is a prime.

It is equal to p₈₈₃₅₆₅ and since 13564961 and 883565 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (13564921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6782480 + 6782481.

It is an arithmetic number, because the mean of its divisors is an integer number (6782481).

Almost surely, 2^13564961 is an apocalyptic number.

It is an amenable number.

13564961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13564961 is an equidigital number, since it uses as much as digits as its factorization.

13564961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19440, while the sum is 35.

The square root of 13564961 is about 3683.0640776397. The cubic root of 13564961 is about 238.4914696467.

The spelling of 13564961 in words is "thirteen million, five hundred sixty-four thousand, nine hundred sixty-one".