213112 has 16 divisors (see below), whose sum is σ = 423360. Its totient is φ = 100224.

The previous prime is 213097. The next prime is 213119. The reversal of 213112 is 211312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 648 + ... + 919.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2²¹³¹¹² is an apocalyptic number.

It is an amenable number.

213112 is a deficient number, since it is larger than the sum of its proper divisors (210248).

213112 is a wasteful number, since it uses less digits than its factorization.

213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1586 counting only the distinct ones).

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

The square root of 213112 is about 461.6405528114. The cubic root of 213112 is about 59.7313918817.

Adding to 213112 its reverse (211312), we get a palindrome (424424).

It can be divided in two parts, 213 and 112, that added together give a triangular number (325 = T₂₅).

The spelling of 213112 in words is "two hundred thirteen thousand, one hundred twelve".