213222 has 8 divisors (see below), whose sum is σ = 426456. Its totient is φ = 71072.

The previous prime is 213217. The next prime is 213223. The reversal of 213222 is 222312.

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

213222 is an admirable number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213198 and 213207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213223) by changing a digit.

213222 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17763 + ... + 17774.

It is an arithmetic number, because the mean of its divisors is an integer number (53307).

2²¹³²²² is an apocalyptic number.

213222 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213222 is a wasteful number, since it uses less digits than its factorization.

213222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35542.

The product of its digits is 48, while the sum is 12.

The square root of 213222 is about 461.7596777546. The cubic root of 213222 is about 59.7416671094.

Adding to 213222 its reverse (222312), we get a palindrome (435534).

It can be divided in two parts, 213 and 222, that added together give a triangular number (435 = T₂₉).

The spelling of 213222 in words is "two hundred thirteen thousand, two hundred twenty-two".