13249 has 2 divisors, whose sum is σ = 13250. Its totient is φ = 13248.

The previous prime is 13241. The next prime is 13259. The reversal of 13249 is 94231.

13249 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., 10000 + 3249 = 100^2 + 57^2 .

It is a cyclic number.

It is not a de Polignac number, because 13249 - 2³ = 13241 is a prime.

It is not a weakly prime, because it can be changed into another prime (13241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6624 + 6625.

It is an arithmetic number, because the mean of its divisors is an integer number (6625).

2¹³²⁴⁹ is an apocalyptic number.

It is an amenable number.

13249 is a deficient number, since it is larger than the sum of its proper divisors (1).

13249 is an equidigital number, since it uses as much as digits as its factorization.

13249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 13249 is about 115.1043005278. The cubic root of 13249 is about 23.6625221423.

It can be divided in two parts, 132 and 49, that added together give a palindrome (181).

The spelling of 13249 in words is "thirteen thousand, two hundred forty-nine".