12964577 has 2 divisors, whose sum is σ = 12964578. Its totient is φ = 12964576.

The previous prime is 12964561. The next prime is 12964579. The reversal of 12964577 is 77546921.

12964577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11015761 + 1948816 = 3319^2 + 1396^2 .

It is a cyclic number.

It is not a de Polignac number, because 12964577 - 2⁴ = 12964561 is a prime.

Together with 12964579, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12964579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6482288 + 6482289.

It is an arithmetic number, because the mean of its divisors is an integer number (6482289).

Almost surely, 2^12964577 is an apocalyptic number.

It is an amenable number.

12964577 is a deficient number, since it is larger than the sum of its proper divisors (1).

12964577 is an equidigital number, since it uses as much as digits as its factorization.

12964577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 105840, while the sum is 41.

The square root of 12964577 is about 3600.6356383283. The cubic root of 12964577 is about 234.9197069890.

The spelling of 12964577 in words is "twelve million, nine hundred sixty-four thousand, five hundred seventy-seven".