536224 has 24 divisors (see below), whose sum is σ = 1137780. Its totient is φ = 247296.

The previous prime is 536219. The next prime is 536227. The reversal of 536224 is 422635.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 535824 + 400 = 732^2 + 20^2 .

It is a d-powerful number, because it can be written as 5 + 3⁷ + 2¹³ + 6⁴ + 2¹⁹ + 4⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 536195 and 536204.

It is not an unprimeable number, because it can be changed into a prime (536227) by changing a digit.

536224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229 + ... + 1060.

2⁵³⁶²²⁴ is an apocalyptic number.

It is an amenable number.

536224 is an abundant number, since it is smaller than the sum of its proper divisors (601556).

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

536224 is a wasteful number, since it uses less digits than its factorization.

536224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1304 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 536224 is about 732.2731730714. The cubic root of 536224 is about 81.2422761889.

Adding to 536224 its reverse (422635), we get a palindrome (958859).

The spelling of 536224 in words is "five hundred thirty-six thousand, two hundred twenty-four".