13006897 has 2 divisors, whose sum is σ = 13006898. Its totient is φ = 13006896.

The previous prime is 13006879. The next prime is 13006907. The reversal of 13006897 is 79860031.

Together with previous prime (13006879) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11943936 + 1062961 = 3456^2 + 1031^2 .

It is an emirp because it is prime and its reverse (79860031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13006897 - 2¹⁹ = 12482609 is a prime.

It is not a weakly prime, because it can be changed into another prime (13006817) 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, 6503448 + 6503449.

It is an arithmetic number, because the mean of its divisors is an integer number (6503449).

Almost surely, 2^13006897 is an apocalyptic number.

It is an amenable number.

13006897 is a deficient number, since it is larger than the sum of its proper divisors (1).

13006897 is an equidigital number, since it uses as much as digits as its factorization.

13006897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 13006897 is about 3606.5075904537. The cubic root of 13006897 is about 235.1750438701.

The spelling of 13006897 in words is "thirteen million, six thousand, eight hundred ninety-seven".