212113 has 6 divisors (see below), whose sum is σ = 233282. Its totient is φ = 192720.

The previous prime is 212099. The next prime is 212117. The reversal of 212113 is 311212.

212113 is digitally balanced in base 2, because in such base 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., 123904 + 88209 = 352^2 + 297^2 .

It is not a de Polignac number, because 212113 - 2⁵ = 212081 is a prime.

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 212113.

It is not an unprimeable number, because it can be changed into a prime (212117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 756 + ... + 997.

2²¹²¹¹³ is an apocalyptic number.

It is an amenable number.

212113 is a deficient number, since it is larger than the sum of its proper divisors (21169).

212113 is a wasteful number, since it uses less digits than its factorization.

212113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1764 counting only the distinct ones).

The product of its digits is 12, while the sum is 10.

The square root of 212113 is about 460.5572711401. The cubic root of 212113 is about 59.6379118578.

Adding to 212113 its reverse (311212), we get a palindrome (523325).

Subtracting 212113 from its reverse (311212), we obtain a palindrome (99099).

It can be divided in two parts, 212 and 113, that added together give a triangular number (325 = T₂₅).

The spelling of 212113 in words is "two hundred twelve thousand, one hundred thirteen".