224013 has 8 divisors (see below), whose sum is σ = 302400. Its totient is φ = 147488.

The previous prime is 224011. The next prime is 224027. The reversal of 224013 is 310422.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 224013 - 2¹ = 224011 is a prime.

It is a Curzon number.

224013 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 224013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224011) 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, 153 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2²²⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

224013 is a deficient number, since it is larger than the sum of its proper divisors (78387).

224013 is an equidigital number, since it uses as much as digits as its factorization.

224013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 224013 is about 473.3001162054. The cubic root of 224013 is about 60.7329542855.

Adding to 224013 its reverse (310422), we get a palindrome (534435).

The spelling of 224013 in words is "two hundred twenty-four thousand, thirteen".