13734641 has 2 divisors, whose sum is σ = 13734642. Its totient is φ = 13734640.

The previous prime is 13734593. The next prime is 13734667. The reversal of 13734641 is 14643731.

13734641 is digitally balanced in base 2, 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., 12285025 + 1449616 = 3505^2 + 1204^2 .

It is a cyclic number.

It is not a de Polignac number, because 13734641 - 2¹⁸ = 13472497 is a prime.

It is not a weakly prime, because it can be changed into another prime (13734041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6867320 + 6867321.

It is an arithmetic number, because the mean of its divisors is an integer number (6867321).

Almost surely, 2^13734641 is an apocalyptic number.

It is an amenable number.

13734641 is a deficient number, since it is larger than the sum of its proper divisors (1).

13734641 is an equidigital number, since it uses as much as digits as its factorization.

13734641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 29.

The square root of 13734641 is about 3706.0276577489. The cubic root of 13734641 is about 239.4817579009.

The spelling of 13734641 in words is "thirteen million, seven hundred thirty-four thousand, six hundred forty-one".