11349 has 12 divisors (see below), whose sum is σ = 17836. Its totient is φ = 6912.

The previous prime is 11329. The next prime is 11351. The reversal of 11349 is 94311.

11349 = 7² + 8² + ... + 32².

11349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3249 + 8100 = 57^2 + 90^2 .

It is not a de Polignac number, because 11349 - 2⁵ = 11317 is a prime.

It is a Curzon number.

It is a plaindrome in base 10, base 12 and base 15.

It is a nialpdrome in base 13.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11329) 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 in 11 ways as a sum of consecutive naturals, for example, 69 + ... + 165.

2¹¹³⁴⁹ is an apocalyptic number.

It is an amenable number.

11349 is a deficient number, since it is larger than the sum of its proper divisors (6487).

11349 is a wasteful number, since it uses less digits than its factorization.

11349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 113 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 11349 is about 106.5316854274. The cubic root of 11349 is about 22.4725591395.

The spelling of 11349 in words is "eleven thousand, three hundred forty-nine".