13737109 has 2 divisors, whose sum is σ = 13737110. Its totient is φ = 13737108.

The previous prime is 13737107. The next prime is 13737121. The reversal of 13737109 is 90173731.

13737109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12780625 + 956484 = 3575^2 + 978^2 .

It is a cyclic number.

It is not a de Polignac number, because 13737109 - 2¹ = 13737107 is a prime.

Together with 13737107, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13737107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6868554 + 6868555.

It is an arithmetic number, because the mean of its divisors is an integer number (6868555).

Almost surely, 2^13737109 is an apocalyptic number.

It is an amenable number.

13737109 is a deficient number, since it is larger than the sum of its proper divisors (1).

13737109 is an equidigital number, since it uses as much as digits as its factorization.

13737109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3969, while the sum is 31.

The square root of 13737109 is about 3706.3606138637. The cubic root of 13737109 is about 239.4961013308.

The spelling of 13737109 in words is "thirteen million, seven hundred thirty-seven thousand, one hundred nine".