13629609 has 24 divisors (see below), whose sum is σ = 22842560. Its totient is φ = 7669728.

The previous prime is 13629607. The next prime is 13629619. The reversal of 13629609 is 90692631.

It is not a de Polignac number, because 13629609 - 2¹ = 13629607 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13629601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2607 + ... + 5835.

Almost surely, 2^13629609 is an apocalyptic number.

It is an amenable number.

13629609 is a deficient number, since it is larger than the sum of its proper divisors (9212951).

13629609 is a wasteful number, since it uses less digits than its factorization.

13629609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 13629609 is about 3691.8300340075. The cubic root of 13629609 is about 238.8697375509.

The spelling of 13629609 in words is "thirteen million, six hundred twenty-nine thousand, six hundred nine".