212784 has 80 divisors (see below), whose sum is σ = 666624. Its totient is φ = 57600.

The previous prime is 212777. The next prime is 212791. The reversal of 212784 is 487212.

It is an interprime number because it is at equal distance from previous prime (212777) and next prime (212791).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6849 + ... + 6879.

2²¹²⁷⁸⁴ is an apocalyptic number.

212784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333312).

212784 is an abundant number, since it is smaller than the sum of its proper divisors (453840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212784 is a wasteful number, since it uses less digits than its factorization.

212784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 212784 is about 461.2851612614. The cubic root of 212784 is about 59.7007320152.

Adding to 212784 its reverse (487212), we get a palindrome (699996).

It can be divided in two parts, 2127 and 84, that added together give a triangular number (2211 = T₆₆).

The spelling of 212784 in words is "two hundred twelve thousand, seven hundred eighty-four".