212052 has 24 divisors (see below), whose sum is σ = 508032. Its totient is φ = 68800.

The previous prime is 212039. The next prime is 212057. The reversal of 212052 is 250212.

212052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212057) by changing a digit.

212052 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, 277 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2²¹²⁰⁵² is an apocalyptic number.

It is an amenable number.

212052 is an abundant number, since it is smaller than the sum of its proper divisors (295980).

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

212052 is a wasteful number, since it uses less digits than its factorization.

212052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 212052 is about 460.4910422582. The cubic root of 212052 is about 59.6321943685.

212052 divided by its sum of digits (12) gives a palindrome (17671).

Adding to 212052 its reverse (250212), we get a palindrome (462264).

The spelling of 212052 in words is "two hundred twelve thousand, fifty-two".