209000 has 64 divisors (see below), whose sum is σ = 561600. Its totient is φ = 72000.

The previous prime is 208997. The next prime is 209021. The reversal of 209000 is 902.

209000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10991 + ... + 11009.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2²⁰⁹⁰⁰⁰ is an apocalyptic number.

209000 is a gapful number since it is divisible by the number (20) 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 209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280800).

209000 is an abundant number, since it is smaller than the sum of its proper divisors (352600).

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

209000 is a wasteful number, since it uses less digits than its factorization.

209000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 209000 is about 457.1651780265. The cubic root of 209000 is about 59.3447214040.

Adding to 209000 its reverse (902), we get a palindrome (209902).

The spelling of 209000 in words is "two hundred nine thousand".