13629337 has 2 divisors, whose sum is σ = 13629338. Its totient is φ = 13629336.

The previous prime is 13629299. The next prime is 13629349. The reversal of 13629337 is 73392631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9585216 + 4044121 = 3096^2 + 2011^2 .

It is a cyclic number.

It is not a de Polignac number, because 13629337 - 2¹⁹ = 13105049 is a prime.

It is not a weakly prime, because it can be changed into another prime (13629397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6814668 + 6814669.

It is an arithmetic number, because the mean of its divisors is an integer number (6814669).

Almost surely, 2^13629337 is an apocalyptic number.

It is an amenable number.

13629337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13629337 is an equidigital number, since it uses as much as digits as its factorization.

13629337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20412, while the sum is 34.

The square root of 13629337 is about 3691.7931957248. The cubic root of 13629337 is about 238.8681485349.

The spelling of 13629337 in words is "thirteen million, six hundred twenty-nine thousand, three hundred thirty-seven".