13648681 has 2 divisors, whose sum is σ = 13648682. Its totient is φ = 13648680.

The previous prime is 13648619. The next prime is 13648693. The reversal of 13648681 is 18684631.

13648681 is digitally balanced in base 3, 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., 10621081 + 3027600 = 3259^2 + 1740^2 .

It is a cyclic number.

It is not a de Polignac number, because 13648681 - 2¹³ = 13640489 is a prime.

It is a super-2 number, since 2×13648681² = 372572986079522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13648681.

It is not a weakly prime, because it can be changed into another prime (13648181) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6824340 + 6824341.

It is an arithmetic number, because the mean of its divisors is an integer number (6824341).

Almost surely, 2^13648681 is an apocalyptic number.

It is an amenable number.

13648681 is a deficient number, since it is larger than the sum of its proper divisors (1).

13648681 is an equidigital number, since it uses as much as digits as its factorization.

13648681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27648, while the sum is 37.

The square root of 13648681 is about 3694.4121318554. The cubic root of 13648681 is about 238.9811029450.

The spelling of 13648681 in words is "thirteen million, six hundred forty-eight thousand, six hundred eighty-one".