39224 has 8 divisors (see below), whose sum is σ = 73560. Its totient is φ = 19608.

The previous prime is 39217. The next prime is 39227. The reversal of 39224 is 42293.

39224 = T₉₅ + T₉₆ + ... + T₁₀₂.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 5 and base 7.

It is a zygodrome in base 5 and base 7.

It is a junction number, because it is equal to n+sod(n) for n = 39196 and 39205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39227) by changing a digit.

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 as a sum of consecutive naturals, namely, 2444 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (9195).

2³⁹²²⁴ is an apocalyptic number.

It is an amenable number.

39224 is a deficient number, since it is larger than the sum of its proper divisors (34336).

39224 is a wasteful number, since it uses less digits than its factorization.

39224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4905 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 39224 is about 198.0504986108. The cubic root of 39224 is about 33.9769162805.

Subtracting from 39224 its sum of digits (20), we obtain a square (39204 = 198²).

It can be divided in two parts, 3 and 9224, that multiplied together give a palindrome (27672).

The spelling of 39224 in words is "thirty-nine thousand, two hundred twenty-four".