13537829 has 2 divisors, whose sum is σ = 13537830. Its totient is φ = 13537828.

The previous prime is 13537817. The next prime is 13537841. The reversal of 13537829 is 92873531.

13537829 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13537817) and next prime (13537841).

It can be written as a sum of positive squares in only one way, i.e., 9597604 + 3940225 = 3098^2 + 1985^2 .

It is an emirp because it is prime and its reverse (92873531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13537829 - 2⁴ = 13537813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13537792 and 13537801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13537859) 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, 6768914 + 6768915.

It is an arithmetic number, because the mean of its divisors is an integer number (6768915).

Almost surely, 2^13537829 is an apocalyptic number.

It is an amenable number.

13537829 is a deficient number, since it is larger than the sum of its proper divisors (1).

13537829 is an equidigital number, since it uses as much as digits as its factorization.

13537829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 38.

The square root of 13537829 is about 3679.3788878016. The cubic root of 13537829 is about 238.3323570251.

The spelling of 13537829 in words is "thirteen million, five hundred thirty-seven thousand, eight hundred twenty-nine".