212352 has 64 divisors (see below), whose sum is σ = 652800. Its totient is φ = 59904.

The previous prime is 212297. The next prime is 212353. The reversal of 212352 is 253212.

212352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2649 + ... + 2727.

It is an arithmetic number, because the mean of its divisors is an integer number (10200).

2²¹²³⁵² 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 212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326400).

212352 is an abundant number, since it is smaller than the sum of its proper divisors (440448).

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

212352 is an equidigital number, since it uses as much as digits as its factorization.

212352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 212352 is about 460.8166663653. The cubic root of 212352 is about 59.6603026132.

Adding to 212352 its reverse (253212), we get a palindrome (465564).

The spelling of 212352 in words is "two hundred twelve thousand, three hundred fifty-two".