212652 has 48 divisors (see below), whose sum is σ = 604800. Its totient is φ = 64080.

The previous prime is 212651. The next prime is 212669. The reversal of 212652 is 256212.

212652 is a `hidden beast` number, since 2 + 12 + 652 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (212651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1099 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2²¹²⁶⁵² is an apocalyptic number.

212652 is a gapful number since it is divisible by the number (22) 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 212652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

212652 is an abundant number, since it is smaller than the sum of its proper divisors (392148).

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

212652 is a wasteful number, since it uses less digits than its factorization.

212652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 212652 is about 461.1420605410. The cubic root of 212652 is about 59.6883843970.

Adding to 212652 its reverse (256212), we get a palindrome (468864).

The spelling of 212652 in words is "two hundred twelve thousand, six hundred fifty-two".