13736249 has 2 divisors, whose sum is σ = 13736250. Its totient is φ = 13736248.

The previous prime is 13736243. The next prime is 13736263. The reversal of 13736249 is 94263731.

13736249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7645225 + 6091024 = 2765^2 + 2468^2 .

It is a cyclic number.

It is not a de Polignac number, because 13736249 - 2¹² = 13732153 is a prime.

It is a super-3 number, since 3×13736249³ (a number of 22 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13736243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6868124 + 6868125.

It is an arithmetic number, because the mean of its divisors is an integer number (6868125).

Almost surely, 2^13736249 is an apocalyptic number.

It is an amenable number.

13736249 is a deficient number, since it is larger than the sum of its proper divisors (1).

13736249 is an equidigital number, since it uses as much as digits as its factorization.

13736249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27216, while the sum is 35.

The square root of 13736249 is about 3706.2445952743. The cubic root of 13736249 is about 239.4911034101.

The spelling of 13736249 in words is "thirteen million, seven hundred thirty-six thousand, two hundred forty-nine".