212205 has 32 divisors (see below), whose sum is σ = 405504. Its totient is φ = 92736.

The previous prime is 212203. The next prime is 212207. The reversal of 212205 is 502212.

It is an interprime number because it is at equal distance from previous prime (212203) and next prime (212207).

It is not a de Polignac number, because 212205 - 2¹ = 212203 is a prime.

212205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4492 + ... + 4538.

It is an arithmetic number, because the mean of its divisors is an integer number (12672).

2²¹²²⁰⁵ is an apocalyptic number.

It is an amenable number.

212205 is a deficient number, since it is larger than the sum of its proper divisors (193299).

212205 is a wasteful number, since it uses less digits than its factorization.

212205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 212205 is about 460.6571393130. The cubic root of 212205 is about 59.6465328835.

Adding to 212205 its reverse (502212), we get a palindrome (714417).

The spelling of 212205 in words is "two hundred twelve thousand, two hundred five".