12964561 has 2 divisors, whose sum is σ = 12964562. Its totient is φ = 12964560.

The previous prime is 12964559. The next prime is 12964577. The reversal of 12964561 is 16546921.

12964561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11182336 + 1782225 = 3344^2 + 1335^2 .

It is a cyclic number.

It is not a de Polignac number, because 12964561 - 2¹ = 12964559 is a prime.

Together with 12964559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12964261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6482280 + 6482281.

It is an arithmetic number, because the mean of its divisors is an integer number (6482281).

Almost surely, 2^12964561 is an apocalyptic number.

It is an amenable number.

12964561 is a deficient number, since it is larger than the sum of its proper divisors (1).

12964561 is an equidigital number, since it uses as much as digits as its factorization.

12964561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12960, while the sum is 34.

The square root of 12964561 is about 3600.6334164977. The cubic root of 12964561 is about 234.9196103483.

The spelling of 12964561 in words is "twelve million, nine hundred sixty-four thousand, five hundred sixty-one".