13006997 has 2 divisors, whose sum is σ = 13006998. Its totient is φ = 13006996.

The previous prime is 13006967. The next prime is 13007003. The reversal of 13006997 is 79960031.

13006997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10297681 + 2709316 = 3209^2 + 1646^2 .

It is an emirp because it is prime and its reverse (79960031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13006997 - 2⁶ = 13006933 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13006907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503498 + 6503499.

It is an arithmetic number, because the mean of its divisors is an integer number (6503499).

Almost surely, 2^13006997 is an apocalyptic number.

It is an amenable number.

13006997 is a deficient number, since it is larger than the sum of its proper divisors (1).

13006997 is an equidigital number, since it uses as much as digits as its factorization.

13006997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 13006997 is about 3606.5214542548. The cubic root of 13006997 is about 235.1756465618.

The spelling of 13006997 in words is "thirteen million, six thousand, nine hundred ninety-seven".