212133 has 8 divisors (see below), whose sum is σ = 292096. Its totient is φ = 136800.

The previous prime is 212131. The next prime is 212141. The reversal of 212133 is 331212.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 212133 - 2¹ = 212131 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212131) 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, 1048 + ... + 1233.

It is an arithmetic number, because the mean of its divisors is an integer number (36512).

2²¹²¹³³ is an apocalyptic number.

It is an amenable number.

212133 is a deficient number, since it is larger than the sum of its proper divisors (79963).

212133 is a wasteful number, since it uses less digits than its factorization.

212133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315.

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

The square root of 212133 is about 460.5789834545. The cubic root of 212133 is about 59.6397862059.

Adding to 212133 its reverse (331212), we get a palindrome (543345).

The spelling of 212133 in words is "two hundred twelve thousand, one hundred thirty-three".