212313 has 16 divisors (see below), whose sum is σ = 314496. Its totient is φ = 126720.

The previous prime is 212297. The next prime is 212353. The reversal of 212313 is 313212.

It is a happy number.

It is not a de Polignac number, because 212313 - 2⁴ = 212297 is a prime.

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 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, 1083 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2²¹²³¹³ is an apocalyptic number.

212313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212313 is a deficient number, since it is larger than the sum of its proper divisors (102183).

212313 is a wasteful number, since it uses less digits than its factorization.

212313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its digits is 36, while the sum is 12.

The square root of 212313 is about 460.7743482443. The cubic root of 212313 is about 59.6566500391.

Adding to 212313 its reverse (313212), we get a palindrome (525525).

It can be divided in two parts, 212 and 313, that added together give a palindrome (525).

The spelling of 212313 in words is "two hundred twelve thousand, three hundred thirteen".