212984 has 16 divisors (see below), whose sum is σ = 405600. Its totient is φ = 104832.

The previous prime is 212981. The next prime is 212987. The reversal of 212984 is 489212.

It is an interprime number because it is at equal distance from previous prime (212981) and next prime (212987).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212981) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 464 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (25350).

2²¹²⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

212984 is a deficient number, since it is larger than the sum of its proper divisors (192616).

212984 is a wasteful number, since it uses less digits than its factorization.

212984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 212984 is about 461.5018959874. The cubic root of 212984 is about 59.7194308012.

The spelling of 212984 in words is "two hundred twelve thousand, nine hundred eighty-four".