13746 has 16 divisors (see below), whose sum is σ = 28800. Its totient is φ = 4368.

The previous prime is 13729. The next prime is 13751. The reversal of 13746 is 64731.

It is a congruent number.

It is an unprimeable number.

13746 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135 + ... + 213.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

2¹³⁷⁴⁶ is an apocalyptic number.

13746 is an abundant number, since it is smaller than the sum of its proper divisors (15054).

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 (14400).

13746 is a wasteful number, since it uses less digits than its factorization.

13746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113.

The product of its digits is 504, while the sum is 21.

The square root of 13746 is about 117.2433366977. The cubic root of 13746 is about 23.9547759473.

The spelling of 13746 in words is "thirteen thousand, seven hundred forty-six".