13638249 has 9 divisors (see below), whose sum is σ = 19715709. Its totient is φ = 9084780.

The previous prime is 13638239. The next prime is 13638253. The reversal of 13638249 is 94283631.

The square root of 13638249 is 3693.

It is a perfect power (a square), and thus also a powerful number.

13638249 is a `hidden beast` number, since 13 + 638 + 2 + 4 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13638249 - 2¹¹ = 13636201 is a prime.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (13638239) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10464 + ... + 11694.

Almost surely, 2^13638249 is an apocalyptic number.

13638249 is the 3693-rd square number.

13638249 is the 1847-th centered octagonal number.

It is an amenable number.

13638249 is a deficient number, since it is larger than the sum of its proper divisors (6077460).

13638249 is an frugal number, since it uses more digits than its factorization.

13638249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 1234 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The cubic root of 13638249 is about 238.9202011797.

Multiplying 13638249 by its sum of digits (36), we get a square (490976964 = 22158²).

The spelling of 13638249 in words is "thirteen million, six hundred thirty-eight thousand, two hundred forty-nine".