13538729 has 2 divisors, whose sum is σ = 13538730. Its totient is φ = 13538728.

The previous prime is 13538687. The next prime is 13538731. The reversal of 13538729 is 92783531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11042329 + 2496400 = 3323^2 + 1580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13538729 is a prime.

It is a Sophie Germain prime.

Together with 13538731, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13538692 and 13538701.

It is not a weakly prime, because it can be changed into another prime (13538779) 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, 6769364 + 6769365.

It is an arithmetic number, because the mean of its divisors is an integer number (6769365).

Almost surely, 2^13538729 is an apocalyptic number.

It is an amenable number.

13538729 is a deficient number, since it is larger than the sum of its proper divisors (1).

13538729 is an equidigital number, since it uses as much as digits as its factorization.

13538729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 38.

The square root of 13538729 is about 3679.5011890201. The cubic root of 13538729 is about 238.3376383832.

The spelling of 13538729 in words is "thirteen million, five hundred thirty-eight thousand, seven hundred twenty-nine".