212823 has 24 divisors (see below), whose sum is σ = 353808. Its totient is φ = 122112.

The previous prime is 212801. The next prime is 212827. The reversal of 212823 is 328212.

It is a happy number.

It is not a de Polignac number, because 212823 - 2⁵ = 212791 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212796 and 212805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1936 + ... + 2042.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2²¹²⁸²³ is an apocalyptic number.

212823 is a deficient number, since it is larger than the sum of its proper divisors (140985).

212823 is a wasteful number, since it uses less digits than its factorization.

212823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 140 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 212823 is about 461.3274325249. The cubic root of 212823 is about 59.7043791978.

It can be divided in two parts, 212 and 823, that added together give a triangular number (1035 = T₄₅).

The spelling of 212823 in words is "two hundred twelve thousand, eight hundred twenty-three".