212833 has 4 divisors (see below), whose sum is σ = 213808. Its totient is φ = 211860.

The previous prime is 212827. The next prime is 212837. The reversal of 212833 is 338212.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 212833 - 2⁵ = 212801 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 212833.

It is not an unprimeable number, because it can be changed into a prime (212837) 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 3 ways as a sum of consecutive naturals, for example, 10 + ... + 652.

It is an arithmetic number, because the mean of its divisors is an integer number (53452).

2²¹²⁸³³ is an apocalyptic number.

It is an amenable number.

212833 is a deficient number, since it is larger than the sum of its proper divisors (975).

212833 is an equidigital number, since it uses as much as digits as its factorization.

212833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974.

The product of its digits is 288, while the sum is 19.

The square root of 212833 is about 461.3382706865. The cubic root of 212833 is about 59.7053143011.

The spelling of 212833 in words is "two hundred twelve thousand, eight hundred thirty-three".