12164513 has 2 divisors, whose sum is σ = 12164514. Its totient is φ = 12164512.

The previous prime is 12164497. The next prime is 12164519. The reversal of 12164513 is 31546121.

12164513 is digitally balanced in base 3, 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., 11404129 + 760384 = 3377^2 + 872^2 .

It is a cyclic number.

It is not a de Polignac number, because 12164513 - 2⁴ = 12164497 is a prime.

It is a super-3 number, since 3×12164513³ (a number of 22 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12164519) 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, 6082256 + 6082257.

It is an arithmetic number, because the mean of its divisors is an integer number (6082257).

Almost surely, 2^12164513 is an apocalyptic number.

It is an amenable number.

12164513 is a deficient number, since it is larger than the sum of its proper divisors (1).

12164513 is an equidigital number, since it uses as much as digits as its factorization.

12164513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 23.

The square root of 12164513 is about 3487.7661905581. The cubic root of 12164513 is about 229.9843278546.

The spelling of 12164513 in words is "twelve million, one hundred sixty-four thousand, five hundred thirteen".