212733 has 8 divisors (see below), whose sum is σ = 315200. Its totient is φ = 141804.

The previous prime is 212701. The next prime is 212777. The reversal of 212733 is 337212.

It is not a de Polignac number, because 212733 - 2⁵ = 212701 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 (212633) 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, 3913 + ... + 3966.

It is an arithmetic number, because the mean of its divisors is an integer number (39400).

2²¹²⁷³³ is an apocalyptic number.

It is an amenable number.

212733 is a deficient number, since it is larger than the sum of its proper divisors (102467).

212733 is an equidigital number, since it uses as much as digits as its factorization.

212733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7888 (or 7882 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 212733 is about 461.2298776099. The cubic root of 212733 is about 59.6959619501.

Adding to 212733 its reverse (337212), we get a palindrome (549945).

The spelling of 212733 in words is "two hundred twelve thousand, seven hundred thirty-three".