212353 has 2 divisors, whose sum is σ = 212354. Its totient is φ = 212352.

The previous prime is 212297. The next prime is 212369. The reversal of 212353 is 353212.

212353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (212369) can be obtained adding 212353 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199809 + 12544 = 447^2 + 112^2 .

It is a cyclic number.

It is not a de Polignac number, because 212353 - 2¹³ = 204161 is a prime.

It is not a weakly prime, because it can be changed into another prime (212383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106176 + 106177.

It is an arithmetic number, because the mean of its divisors is an integer number (106177).

2²¹²³⁵³ is an apocalyptic number.

It is an amenable number.

212353 is a deficient number, since it is larger than the sum of its proper divisors (1).

212353 is an equidigital number, since it uses as much as digits as its factorization.

212353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 16.

The square root of 212353 is about 460.8177513942. The cubic root of 212353 is about 59.6603962631.

Adding to 212353 its reverse (353212), we get a palindrome (565565).

It can be divided in two parts, 212 and 353, that added together give a palindrome (565).

The spelling of 212353 in words is "two hundred twelve thousand, three hundred fifty-three".