354222 has 24 divisors (see below), whose sum is σ = 837720. Its totient is φ = 107280.

The previous prime is 354209. The next prime is 354247. The reversal of 354222 is 222453.

It is a super-3 number, since 3×354222³ = 133336130419647144, which contains 333 as substring.

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

It is a d-powerful number, because it can be written as 3¹⁰ + 5 + 2¹⁵ + 4⁴ + 2¹⁷ + 2¹⁷ .

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 354195 and 354204.

It is a congruent number.

It is an unprimeable number.

354222 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, 697 + ... + 1092.

It is an arithmetic number, because the mean of its divisors is an integer number (34905).

2³⁵⁴²²² is an apocalyptic number.

354222 is an abundant number, since it is smaller than the sum of its proper divisors (483498).

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

354222 is a wasteful number, since it uses less digits than its factorization.

354222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1805 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 354222 is about 595.1655231950. The cubic root of 354222 is about 70.7552240105.

Adding to 354222 its reverse (222453), we get a palindrome (576675).

Subtracting from 354222 its reverse (222453), we obtain a square (131769 = 363²).

It can be divided in two parts, 354 and 222, that added together give a square (576 = 24²).

The spelling of 354222 in words is "three hundred fifty-four thousand, two hundred twenty-two".