13205327 has 2 divisors, whose sum is σ = 13205328. Its totient is φ = 13205326.

The previous prime is 13205303. The next prime is 13205329. The reversal of 13205327 is 72350231.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13205327 - 2¹⁴ = 13188943 is a prime.

It is a super-2 number, since 2×13205327² = 348761322353858, which contains 22 as substring.

Together with 13205329, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13205329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6602663 + 6602664.

It is an arithmetic number, because the mean of its divisors is an integer number (6602664).

Almost surely, 2^13205327 is an apocalyptic number.

13205327 is a deficient number, since it is larger than the sum of its proper divisors (1).

13205327 is an equidigital number, since it uses as much as digits as its factorization.

13205327 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 13205327 is about 3633.9134552160. The cubic root of 13205327 is about 236.3649374009.

Adding to 13205327 its reverse (72350231), we get a palindrome (85555558).

The spelling of 13205327 in words is "thirteen million, two hundred five thousand, three hundred twenty-seven".