212085 has 16 divisors (see below), whose sum is σ = 377280. Its totient is φ = 113040.

The previous prime is 212081. The next prime is 212099. The reversal of 212085 is 580212.

It is not a de Polignac number, because 212085 - 2² = 212081 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212085.

It is not an unprimeable number, because it can be changed into a prime (212081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (23580).

2²¹²⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

212085 is a deficient number, since it is larger than the sum of its proper divisors (165195).

212085 is a wasteful number, since it uses less digits than its factorization.

212085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212085 is about 460.5268721801. The cubic root of 212085 is about 59.6352875726.

Adding to 212085 its reverse (580212), we get a palindrome (792297).

The spelling of 212085 in words is "two hundred twelve thousand, eighty-five".