36224 has 16 divisors (see below), whose sum is σ = 72420. Its totient is φ = 18048.

The previous prime is 36217. The next prime is 36229. The reversal of 36224 is 42263.

It is a tau number, because it is divible by the number of its divisors (16).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36229) by changing a digit.

36224 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14 + ... + 269.

2³⁶²²⁴ is an apocalyptic number.

It is an amenable number.

36224 is a deficient number, since it is larger than the sum of its proper divisors (36196).

36224 is an equidigital number, since it uses as much as digits as its factorization.

36224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its digits is 288, while the sum is 17.

The square root of 36224 is about 190.3260360539. The cubic root of 36224 is about 33.0876153532.

Adding to 36224 its reverse (42263), we get a palindrome (78487).

The spelling of 36224 in words is "thirty-six thousand, two hundred twenty-four".