13750 has 20 divisors (see below), whose sum is σ = 28116. Its totient is φ = 5000.

The previous prime is 13729. The next prime is 13751. The reversal of 13750 is 5731.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13751) by changing a digit.

13750 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 9 ways as a sum of consecutive naturals, for example, 1245 + ... + 1255.

2¹³⁷⁵⁰ is an apocalyptic number.

13750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13750 is an abundant number, since it is smaller than the sum of its proper divisors (14366).

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 (14058).

13750 is an equidigital number, since it uses as much as digits as its factorization.

13750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 13750 is about 117.2603939956. The cubic root of 13750 is about 23.9570992853.

The spelling of 13750 in words is "thirteen thousand, seven hundred fifty".