352224 has 36 divisors (see below), whose sum is σ = 1002456. Its totient is φ = 117312.

The previous prime is 352217. The next prime is 352229. The reversal of 352224 is 422253.

352224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 352197 and 352206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 324 + ... + 899.

It is an arithmetic number, because the mean of its divisors is an integer number (27846).

2³⁵²²²⁴ is an apocalyptic number.

It is an amenable number.

352224 is an abundant number, since it is smaller than the sum of its proper divisors (650232).

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

352224 is a wasteful number, since it uses less digits than its factorization.

352224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1228 counting only the distinct ones).

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

The square root of 352224 is about 593.4846249062. The cubic root of 352224 is about 70.6219407660.

Adding to 352224 its reverse (422253), we get a palindrome (774477).

It can be divided in two parts, 352 and 224, that added together give a square (576 = 24²).

The spelling of 352224 in words is "three hundred fifty-two thousand, two hundred twenty-four".