13985281 has 2 divisors, whose sum is σ = 13985282. Its totient is φ = 13985280.

The previous prime is 13985263. The next prime is 13985317. The reversal of 13985281 is 18258931.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13024881 + 960400 = 3609^2 + 980^2 .

It is an emirp because it is prime and its reverse (18258931) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13985281 - 2⁹ = 13984769 is a prime.

It is a super-2 number, since 2×13985281² = 391176169297922, which contains 22 as substring.

It is equal to p₉₀₉₁₉₉ and since 13985281 and 909199 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13985281.

It is not a weakly prime, because it can be changed into another prime (13985261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6992640 + 6992641.

It is an arithmetic number, because the mean of its divisors is an integer number (6992641).

Almost surely, 2^13985281 is an apocalyptic number.

It is an amenable number.

13985281 is a deficient number, since it is larger than the sum of its proper divisors (1).

13985281 is an equidigital number, since it uses as much as digits as its factorization.

13985281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17280, while the sum is 37.

The square root of 13985281 is about 3739.6899604112. The cubic root of 13985281 is about 240.9297327901.

The spelling of 13985281 in words is "thirteen million, nine hundred eighty-five thousand, two hundred eighty-one".