212718 has 24 divisors (see below), whose sum is σ = 469224. Its totient is φ = 64240.

The previous prime is 212701. The next prime is 212777. The reversal of 212718 is 817212.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 212694 and 212703.

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 212718.

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 11 ways as a sum of consecutive naturals, for example, 580 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (19551).

2²¹²⁷¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234612).

212718 is an abundant number, since it is smaller than the sum of its proper divisors (256506).

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

212718 is a wasteful number, since it uses less digits than its factorization.

212718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 212718 is about 461.2136164512. The cubic root of 212718 is about 59.6945588446.

It can be divided in two parts, 2127 and 18, that added together give a triangular number (2145 = T₆₅).

The spelling of 212718 in words is "two hundred twelve thousand, seven hundred eighteen".