224361 has 12 divisors (see below), whose sum is σ = 328692. Its totient is φ = 147456.

The previous prime is 224359. The next prime is 224363. The reversal of 224361 is 163422.

It is a happy number.

224361 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224359) and next prime (224363).

It can be written as a sum of positive squares in 2 ways, for example, as 176400 + 47961 = 420^2 + 219^2 .

It is not a de Polignac number, because 224361 - 2¹ = 224359 is a prime.

224361 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 224361.

It is not an unprimeable number, because it can be changed into a prime (224363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 745 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (27391).

2²²⁴³⁶¹ is an apocalyptic number.

It is an amenable number.

224361 is a deficient number, since it is larger than the sum of its proper divisors (104331).

224361 is a wasteful number, since it uses less digits than its factorization.

224361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 357 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 224361 is about 473.6676049721. The cubic root of 224361 is about 60.7643871833.

Adding to 224361 its reverse (163422), we get a palindrome (387783).

It can be divided in two parts, 2243 and 61, that added together give a square (2304 = 48²).

The spelling of 224361 in words is "two hundred twenty-four thousand, three hundred sixty-one".