13729537 has 2 divisors, whose sum is σ = 13729538. Its totient is φ = 13729536.

The previous prime is 13729517. The next prime is 13729543. The reversal of 13729537 is 73592731.

13729537 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., 13549761 + 179776 = 3681^2 + 424^2 .

It is an emirp because it is prime and its reverse (73592731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13729537 - 2¹⁵ = 13696769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13729496 and 13729505.

It is not a weakly prime, because it can be changed into another prime (13729517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6864768 + 6864769.

It is an arithmetic number, because the mean of its divisors is an integer number (6864769).

Almost surely, 2^13729537 is an apocalyptic number.

It is an amenable number.

13729537 is a deficient number, since it is larger than the sum of its proper divisors (1).

13729537 is an equidigital number, since it uses as much as digits as its factorization.

13729537 is an evil number, because the sum of its binary digits is even.

The product of its digits is 39690, while the sum is 37.

The square root of 13729537 is about 3705.3389858419. The cubic root of 13729537 is about 239.4520892130.

The spelling of 13729537 in words is "thirteen million, seven hundred twenty-nine thousand, five hundred thirty-seven".