13005297 has 6 divisors (see below), whose sum is σ = 18785442. Its totient is φ = 8670192.

The previous prime is 13005277. The next prime is 13005301. The reversal of 13005297 is 79250031.

13005297 is a `hidden beast` number, since 130 + 0 + 529 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9678321 + 3326976 = 3111^2 + 1824^2 .

It is not a de Polignac number, because 13005297 - 2⁶ = 13005233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13005297.

It is not an unprimeable number, because it can be changed into a prime (13005227) 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 in 5 ways as a sum of consecutive naturals, for example, 722508 + ... + 722525.

It is an arithmetic number, because the mean of its divisors is an integer number (3130907).

Almost surely, 2^13005297 is an apocalyptic number.

It is an amenable number.

13005297 is a deficient number, since it is larger than the sum of its proper divisors (5780145).

13005297 is a wasteful number, since it uses less digits than its factorization.

13005297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445039 (or 1445036 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 13005297 is about 3606.2857623877. The cubic root of 13005297 is about 235.1654003838.

The spelling of 13005297 in words is "thirteen million, five thousand, two hundred ninety-seven".