13305973 has 2 divisors, whose sum is σ = 13305974. Its totient is φ = 13305972.

The previous prime is 13305961. The next prime is 13305989. The reversal of 13305973 is 37950331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8803089 + 4502884 = 2967^2 + 2122^2 .

It is an emirp because it is prime and its reverse (37950331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13305973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13305953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6652986 + 6652987.

It is an arithmetic number, because the mean of its divisors is an integer number (6652987).

Almost surely, 2^13305973 is an apocalyptic number.

It is an amenable number.

13305973 is a deficient number, since it is larger than the sum of its proper divisors (1).

13305973 is an equidigital number, since it uses as much as digits as its factorization.

13305973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8505, while the sum is 31.

The square root of 13305973 is about 3647.7353248283. The cubic root of 13305973 is about 236.9639129183.

The spelling of 13305973 in words is "thirteen million, three hundred five thousand, nine hundred seventy-three".