212009 has 8 divisors (see below), whose sum is σ = 250368. Its totient is φ = 175680.

The previous prime is 211997. The next prime is 212029. The reversal of 212009 is 900212.

212009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211984 and 212002.

It is not an unprimeable number, because it can be changed into a prime (212029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272 + ... + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (31296).

2²¹²⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

212009 is a deficient number, since it is larger than the sum of its proper divisors (38359).

212009 is an equidigital number, since it uses as much as digits as its factorization.

212009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 212009 is about 460.4443506006. Note that the first 3 decimals coincide. The cubic root of 212009 is about 59.6281633483.

The spelling of 212009 in words is "two hundred twelve thousand, nine".