13827629 has 2 divisors, whose sum is σ = 13827630. Its totient is φ = 13827628.

The previous prime is 13827617. The next prime is 13827637. The reversal of 13827629 is 92672831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12411529 + 1416100 = 3523^2 + 1190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13827629 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13827592 and 13827601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13827689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6913814 + 6913815.

It is an arithmetic number, because the mean of its divisors is an integer number (6913815).

Almost surely, 2^13827629 is an apocalyptic number.

It is an amenable number.

13827629 is a deficient number, since it is larger than the sum of its proper divisors (1).

13827629 is an equidigital number, since it uses as much as digits as its factorization.

13827629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 38.

The square root of 13827629 is about 3718.5520031324. The cubic root of 13827629 is about 240.0209993200.

The spelling of 13827629 in words is "thirteen million, eight hundred twenty-seven thousand, six hundred twenty-nine".