273222 has 24 divisors (see below), whose sum is σ = 607464. Its totient is φ = 88704.

The previous prime is 273193. The next prime is 273233. The reversal of 273222 is 222372.

It is a super-2 number, since 2×273222² = 149300522568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2² + 7⁴ + 2⁶ + 3⁸ + 2¹¹ + 2¹⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 273195 and 273204.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 273222.

It is an unprimeable number.

273222 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 11 ways as a sum of consecutive naturals, for example, 598 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (25311).

2²⁷³²²² is an apocalyptic number.

273222 is an abundant number, since it is smaller than the sum of its proper divisors (334242).

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

273222 is a wasteful number, since it uses less digits than its factorization.

273222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 401 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 273222 is about 522.7064185563. The cubic root of 273222 is about 64.8891206302.

Adding to 273222 its reverse (222372), we get a palindrome (495594).

It can be divided in two parts, 273 and 222, that multiplied together give a palindrome (60606).

The spelling of 273222 in words is "two hundred seventy-three thousand, two hundred twenty-two", and thus it is an iban number.