13137947 has 2 divisors, whose sum is σ = 13137948. Its totient is φ = 13137946.

The previous prime is 13137941. The next prime is 13137961. The reversal of 13137947 is 74973131.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13137947 - 2⁴ = 13137931 is a prime.

It is a super-3 number, since 3×13137947³ (a number of 22 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13137941) 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, 6568973 + 6568974.

It is an arithmetic number, because the mean of its divisors is an integer number (6568974).

Almost surely, 2^13137947 is an apocalyptic number.

13137947 is a deficient number, since it is larger than the sum of its proper divisors (1).

13137947 is an equidigital number, since it uses as much as digits as its factorization.

13137947 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15876, while the sum is 35.

The square root of 13137947 is about 3624.6306018683. The cubic root of 13137947 is about 235.9622354109.

The spelling of 13137947 in words is "thirteen million, one hundred thirty-seven thousand, nine hundred forty-seven".