212533 has 4 divisors (see below), whose sum is σ = 213568. Its totient is φ = 211500.

The previous prime is 212507. The next prime is 212557. The reversal of 212533 is 335212.

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 212533 - 2⁵ = 212501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212573) 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, 93 + ... + 658.

It is an arithmetic number, because the mean of its divisors is an integer number (53392).

2²¹²⁵³³ is an apocalyptic number.

It is an amenable number.

212533 is a deficient number, since it is larger than the sum of its proper divisors (1035).

212533 is an equidigital number, since it uses as much as digits as its factorization.

212533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034.

The product of its digits is 180, while the sum is 16.

The square root of 212533 is about 461.0130150007. The cubic root of 212533 is about 59.6772484518.

Adding to 212533 its reverse (335212), we get a palindrome (547745).

It can be divided in two parts, 2125 and 33, that multiplied together give a triangular number (70125 = T₃₇₄).

The spelling of 212533 in words is "two hundred twelve thousand, five hundred thirty-three".