212084 has 12 divisors (see below), whose sum is σ = 381444. Its totient is φ = 103104.

The previous prime is 212081. The next prime is 212099. The reversal of 212084 is 480212.

It can be written as a sum of positive squares in 2 ways, for example, as 183184 + 28900 = 428^2 + 170^2 .

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 212084.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 569 + ... + 864.

It is an arithmetic number, because the mean of its divisors is an integer number (31787).

2²¹²⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

212084 is a deficient number, since it is larger than the sum of its proper divisors (169360).

212084 is a wasteful number, since it uses less digits than its factorization.

212084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 212084 is about 460.5257864659. The cubic root of 212084 is about 59.6351938439.

Adding to 212084 its product of nonzero digits (128), we get a palindrome (212212).

Adding to 212084 its reverse (480212), we get a palindrome (692296).

It can be divided in two parts, 21208 and 4, that added together give a palindrome (21212).

The spelling of 212084 in words is "two hundred twelve thousand, eighty-four".