13749 has 4 divisors (see below), whose sum is σ = 18336. Its totient is φ = 9164.

The previous prime is 13729. The next prime is 13751. The reversal of 13749 is 94731.

13749 = 35² + 36² + ... + 43².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13749 - 2¹¹ = 11701 is a prime.

It is a D-number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13709) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2289 + ... + 2294.

It is an arithmetic number, because the mean of its divisors is an integer number (4584).

2¹³⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

13749 is a deficient number, since it is larger than the sum of its proper divisors (4587).

13749 is an equidigital number, since it uses as much as digits as its factorization.

13749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586.

The product of its digits is 756, while the sum is 24.

The square root of 13749 is about 117.2561299037. The cubic root of 13749 is about 23.9565184931.

The spelling of 13749 in words is "thirteen thousand, seven hundred forty-nine".