212605 has 8 divisors (see below), whose sum is σ = 258264. Its totient is φ = 168000.

The previous prime is 212593. The next prime is 212627. The reversal of 212605 is 506212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13689 + 198916 = 117^2 + 446^2 .

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

It is not a de Polignac number, because 212605 - 2⁵ = 212573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295 + ... + 715.

It is an arithmetic number, because the mean of its divisors is an integer number (32283).

2²¹²⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

212605 is a deficient number, since it is larger than the sum of its proper divisors (45659).

212605 is a wasteful number, since it uses less digits than its factorization.

212605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 212605 is about 461.0910972899. The cubic root of 212605 is about 59.6839866631.

Adding to 212605 its reverse (506212), we get a palindrome (718817).

The spelling of 212605 in words is "two hundred twelve thousand, six hundred five".