13006817 has 2 divisors, whose sum is σ = 13006818. Its totient is φ = 13006816.

The previous prime is 13006793. The next prime is 13006831. The reversal of 13006817 is 71860031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6974881 + 6031936 = 2641^2 + 2456^2 .

It is a cyclic number.

It is not a de Polignac number, because 13006817 - 2¹² = 13002721 is a prime.

It is not a weakly prime, because it can be changed into another prime (13006837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503408 + 6503409.

It is an arithmetic number, because the mean of its divisors is an integer number (6503409).

Almost surely, 2^13006817 is an apocalyptic number.

It is an amenable number.

13006817 is a deficient number, since it is larger than the sum of its proper divisors (1).

13006817 is an equidigital number, since it uses as much as digits as its factorization.

13006817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 13006817 is about 3606.4964993744. The cubic root of 13006817 is about 235.1745617146.

Adding to 13006817 its reverse (71860031), we get a palindrome (84866848).

The spelling of 13006817 in words is "thirteen million, six thousand, eight hundred seventeen".