209034 has 48 divisors (see below), whose sum is σ = 547200. Its totient is φ = 58968.

The previous prime is 209029. The next prime is 209039. The reversal of 209034 is 430902.

It is an interprime number because it is at equal distance from previous prime (209029) and next prime (209039).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 208998 and 209016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 209034.

It is not an unprimeable number, because it can be changed into a prime (209039) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2607 + ... + 2685.

It is an arithmetic number, because the mean of its divisors is an integer number (11400).

2²⁰⁹⁰³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273600).

209034 is an abundant number, since it is smaller than the sum of its proper divisors (338166).

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

209034 is a wasteful number, since it uses less digits than its factorization.

209034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 209034 is about 457.2023621986. The cubic root of 209034 is about 59.3479392846.

Adding to 209034 its reverse (430902), we get a palindrome (639936).

The spelling of 209034 in words is "two hundred nine thousand, thirty-four".