13748 has 12 divisors (see below), whose sum is σ = 27552. Its totient is φ = 5880.

The previous prime is 13729. The next prime is 13751. The reversal of 13748 is 84731.

It is a happy number.

13748 is an admirable number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218 + ... + 273.

It is an arithmetic number, because the mean of its divisors is an integer number (2296).

2¹³⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

13748 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13776).

13748 is a wasteful number, since it uses less digits than its factorization.

13748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 500 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 13748 is about 117.2518656568. The cubic root of 13748 is about 23.9559376727.

The spelling of 13748 in words is "thirteen thousand, seven hundred forty-eight".