13965224 has 32 divisors (see below), whose sum is σ = 32229120. Its totient is φ = 5524416.

The previous prime is 13965197. The next prime is 13965229. The reversal of 13965224 is 42256931.

13965224 = 76² + 77² + ... + 348².

It is a happy number.

13965224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13965229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8864 + ... + 10319.

It is an arithmetic number, because the mean of its divisors is an integer number (1007160).

Almost surely, 2^13965224 is an apocalyptic number.

13965224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13965224 is an abundant number, since it is smaller than the sum of its proper divisors (18263896).

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

13965224 is a wasteful number, since it uses less digits than its factorization.

13965224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19209 (or 19205 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 13965224 is about 3737.0073588367. The cubic root of 13965224 is about 240.8145011741.

The spelling of 13965224 in words is "thirteen million, nine hundred sixty-five thousand, two hundred twenty-four".