13629538 has 32 divisors (see below), whose sum is σ = 22974336. Its totient is φ = 6023808.

The previous prime is 13629523. The next prime is 13629557. The reversal of 13629538 is 83592631.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 13629497 and 13629506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81531 + ... + 81697.

It is an arithmetic number, because the mean of its divisors is an integer number (717948).

Almost surely, 2^13629538 is an apocalyptic number.

13629538 is a deficient number, since it is larger than the sum of its proper divisors (9344798).

13629538 is a wasteful number, since it uses less digits than its factorization.

13629538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298.

The product of its digits is 38880, while the sum is 37.

The square root of 13629538 is about 3691.8204181677. The cubic root of 13629538 is about 238.8693227730.

The spelling of 13629538 in words is "thirteen million, six hundred twenty-nine thousand, five hundred thirty-eight".