34209 has 16 divisors (see below), whose sum is σ = 58240. Its totient is φ = 19440.

The previous prime is 34183. The next prime is 34211. The reversal of 34209 is 90243.

34209 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 34209 - 2¹² = 30113 is a prime.

34209 is a lucky number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 34191 and 34200.

It is not an unprimeable number, because it can be changed into a prime (34259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2³⁴²⁰⁹ is an apocalyptic number.

It is an amenable number.

34209 is a deficient number, since it is larger than the sum of its proper divisors (24031).

34209 is a wasteful number, since it uses less digits than its factorization.

34209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

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

The square root of 34209 is about 184.9567517016. The cubic root of 34209 is about 32.4623627419.

Subtracting from 34209 its sum of digits (18), we obtain a triangular number (34191 = T₂₆₁).

It can be divided in two parts, 34 and 209, that added together give a 5-th power (243 = 3⁵).

The spelling of 34209 in words is "thirty-four thousand, two hundred nine".