18700 has 36 divisors (see below), whose sum is σ = 46872. Its totient is φ = 6400.

The previous prime is 18691. The next prime is 18701. The reversal of 18700 is 781.

18700 = 1⁷ + 2⁷ + ... + 4⁷.

18700 is an undulating number in base 13.

It is not an unprimeable number, because it can be changed into a prime (18701) by changing a digit.

18700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1092 + ... + 1108.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

2¹⁸⁷⁰⁰ is an apocalyptic number.

18700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436).

18700 is an abundant number, since it is smaller than the sum of its proper divisors (28172).

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

18700 is a wasteful number, since it uses less digits than its factorization.

18700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 18700 is about 136.7479433118. The cubic root of 18700 is about 26.5428285728.

The spelling of 18700 in words is "eighteen thousand, seven hundred".