212744 has 32 divisors (see below), whose sum is σ = 475200. Its totient is φ = 87360.

The previous prime is 212701. The next prime is 212777. The reversal of 212744 is 447212.

212744 = T₅₅ + T₅₆ + ... + T₁₁₂.

212744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212744.

It is an unprimeable number.

212744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1559 + ... + 1689.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2²¹²⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237600).

212744 is an abundant number, since it is smaller than the sum of its proper divisors (262456).

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

212744 is a wasteful number, since it uses less digits than its factorization.

212744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its digits is 448, while the sum is 20.

The square root of 212744 is about 461.2418020952. The cubic root of 212744 is about 59.6969908521.

Adding to 212744 its reverse (447212), we get a palindrome (659956).

The spelling of 212744 in words is "two hundred twelve thousand, seven hundred forty-four", and thus it is an iban number.