18750 has 24 divisors (see below), whose sum is σ = 46872. Its totient is φ = 5000.

The previous prime is 18749. The next prime is 18757. The reversal of 18750 is 5781.

Added to its reverse (5781) it gives a triangular number (24531 = T₂₂₁).

18750 = T₆₀ + T₆₁ + ... + T₆₈.

It is a happy number.

18750 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

18750 is a mountain number because its digits go up and then down.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3748 + ... + 3752.

It is an arithmetic number, because the mean of its divisors is an integer number (1953).

2¹⁸⁷⁵⁰ is an apocalyptic number.

18750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436).

18750 is an abundant number, since it is smaller than the sum of its proper divisors (28122).

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

18750 is an frugal number, since it uses more digits than its factorization.

18750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 18750 is about 136.9306393763. The cubic root of 18750 is about 26.5664642296.

Adding to 18750 its reverse (5781), we get a triangular number (24531 = T₂₂₁).

The spelling of 18750 in words is "eighteen thousand, seven hundred fifty".