13003947 has 24 divisors (see below), whose sum is σ = 21385728. Its totient is φ = 7537200.

The previous prime is 13003937. The next prime is 13003951. The reversal of 13003947 is 74930031.

It is not a de Polignac number, because 13003947 - 2⁶ = 13003883 is a prime.

It is a super-4 number, since 4×13003947⁴ (a number of 30 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13003947.

It is not an unprimeable number, because it can be changed into a prime (13003937) 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 23 ways as a sum of consecutive naturals, for example, 579 + ... + 5132.

It is an arithmetic number, because the mean of its divisors is an integer number (891072).

Almost surely, 2^13003947 is an apocalyptic number.

13003947 is a deficient number, since it is larger than the sum of its proper divisors (8381781).

13003947 is a wasteful number, since it uses less digits than its factorization.

13003947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13003947 is about 3606.0985843429. The cubic root of 13003947 is about 235.1572630770.

Adding to 13003947 its reverse (74930031), we get a palindrome (87933978).

The spelling of 13003947 in words is "thirteen million, three thousand, nine hundred forty-seven".