13734101 has 2 divisors, whose sum is σ = 13734102. Its totient is φ = 13734100.

The previous prime is 13734047. The next prime is 13734103. The reversal of 13734101 is 10143731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6895876 + 6838225 = 2626^2 + 2615^2 .

It is a cyclic number.

It is not a de Polignac number, because 13734101 - 2⁶ = 13734037 is a prime.

Together with 13734103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13734103) 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, 6867050 + 6867051.

It is an arithmetic number, because the mean of its divisors is an integer number (6867051).

Almost surely, 2^13734101 is an apocalyptic number.

It is an amenable number.

13734101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13734101 is an equidigital number, since it uses as much as digits as its factorization.

13734101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 13734101 is about 3705.9548027465. The cubic root of 13734101 is about 239.4786193201.

Adding to 13734101 its reverse (10143731), we get a palindrome (23877832).

The spelling of 13734101 in words is "thirteen million, seven hundred thirty-four thousand, one hundred one".