13737041 has 2 divisors, whose sum is σ = 13737042. Its totient is φ = 13737040.

The previous prime is 13737013. The next prime is 13737047. The reversal of 13737041 is 14073731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12988816 + 748225 = 3604^2 + 865^2 .

It is a cyclic number.

It is not a de Polignac number, because 13737041 - 2¹⁴ = 13720657 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13737041.

It is not a weakly prime, because it can be changed into another prime (13737047) 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, 6868520 + 6868521.

It is an arithmetic number, because the mean of its divisors is an integer number (6868521).

Almost surely, 2^13737041 is an apocalyptic number.

It is an amenable number.

13737041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13737041 is an equidigital number, since it uses as much as digits as its factorization.

13737041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 13737041 is about 3706.3514404330. The cubic root of 13737041 is about 239.4957061540.

The spelling of 13737041 in words is "thirteen million, seven hundred thirty-seven thousand, forty-one".