212724 has 36 divisors (see below), whose sum is σ = 567840. Its totient is φ = 66960.

The previous prime is 212701. The next prime is 212777. The reversal of 212724 is 427212.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212697 and 212706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529 + ... + 839.

2²¹²⁷²⁴ 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 212724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283920).

212724 is an abundant number, since it is smaller than the sum of its proper divisors (355116).

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

212724 is a wasteful number, since it uses less digits than its factorization.

212724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 212724 is about 461.2201209835. The cubic root of 212724 is about 59.6951200947.

Adding to 212724 its reverse (427212), we get a palindrome (639936).

The spelling of 212724 in words is "two hundred twelve thousand, seven hundred twenty-four", and thus it is an iban number.