12964761 has 12 divisors (see below), whose sum is σ = 19828692. Its totient is φ = 8134656.

The previous prime is 12964753. The next prime is 12964771. The reversal of 12964761 is 16746921.

12964761 is a `hidden beast` number, since 1 + 2 + 9 + 647 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 3080025 = 3144^2 + 1755^2 .

It is not a de Polignac number, because 12964761 - 2³ = 12964753 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12964741) 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 in 11 ways as a sum of consecutive naturals, for example, 42216 + ... + 42521.

It is an arithmetic number, because the mean of its divisors is an integer number (1652391).

Almost surely, 2^12964761 is an apocalyptic number.

It is an amenable number.

12964761 is a deficient number, since it is larger than the sum of its proper divisors (6863931).

12964761 is a wasteful number, since it uses less digits than its factorization.

12964761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84760 (or 84757 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 12964761 is about 3600.6611892818. The cubic root of 12964761 is about 234.9208183512.

It can be divided in two parts, 1296 and 4761, that multiplied together give a square (6170256 = 2484²).

The spelling of 12964761 in words is "twelve million, nine hundred sixty-four thousand, seven hundred sixty-one".