19700 has 18 divisors (see below), whose sum is σ = 42966. Its totient is φ = 7840.

The previous prime is 19699. The next prime is 19709. The reversal of 19700 is 791.

19700 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 3 ways, for example, as 5776 + 13924 = 76^2 + 118^2 .

19700 is an undulating number in base 14.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19709) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (2387).

2¹⁹⁷⁰⁰ is an apocalyptic number.

19700 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 19700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21483).

19700 is an abundant number, since it is smaller than the sum of its proper divisors (23266).

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

19700 is a wasteful number, since it uses less digits than its factorization.

19700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 19700 is about 140.3566884762. The cubic root of 19700 is about 27.0077709685.

Subtracting from 19700 its sum of digits (17), we obtain a 9-th power (19683 = 3⁹).

Multiplying 19700 by its product of nonzero digits (63), we get a triangular number (1241100 = T₁₅₇₅).

The spelling of 19700 in words is "nineteen thousand, seven hundred".