212225 has 12 divisors (see below), whose sum is σ = 283836. Its totient is φ = 156480.

The previous prime is 212209. The next prime is 212227. The reversal of 212225 is 522212.

212225 = T₆₆ + T₆₇ + ... + T₁₁₅.

It can be written as a sum of positive squares in 6 ways, for example, as 44944 + 167281 = 212^2 + 409^2 .

It is not a de Polignac number, because 212225 - 2⁴ = 212209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (23653).

2²¹²²²⁵ is an apocalyptic number.

212225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212225 is a deficient number, since it is larger than the sum of its proper divisors (71611).

212225 is a wasteful number, since it uses less digits than its factorization.

212225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 671 counting only the distinct ones).

The product of its digits is 80, while the sum is 14.

The square root of 212225 is about 460.6788469205. The cubic root of 212225 is about 59.6484066897.

Adding to 212225 its reverse (522212), we get a palindrome (734437).

The spelling of 212225 in words is "two hundred twelve thousand, two hundred twenty-five".