212552 has 12 divisors (see below), whose sum is σ = 400995. Its totient is φ = 105624.

The previous prime is 212507. The next prime is 212557. The reversal of 212552 is 255212.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

212552 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 106276 + 106276 = 326^2 + 326^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=326.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212552.

It is not an unprimeable number, because it can be changed into a prime (212557) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1223 + ... + 1385.

2²¹²⁵⁵² is an apocalyptic number.

It is an amenable number.

212552 is a deficient number, since it is larger than the sum of its proper divisors (188443).

212552 is an equidigital number, since it uses as much as digits as its factorization.

212552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 165 counting only the distinct ones).

The product of its digits is 200, while the sum is 17.

The square root of 212552 is about 461.0336213336. The cubic root of 212552 is about 59.6790267387.

Multiplying 212552 by its product of digits (200), we get a square (42510400 = 6520²).

Adding to 212552 its reverse (255212), we get a palindrome (467764).

The spelling of 212552 in words is "two hundred twelve thousand, five hundred fifty-two".