224541 has 12 divisors (see below), whose sum is σ = 330460. Its totient is φ = 146880.

The previous prime is 224527. The next prime is 224563. The reversal of 224541 is 145422.

It can be written as a sum of positive squares in 2 ways, for example, as 99225 + 125316 = 315^2 + 354^2 .

It is not a de Polignac number, because 224541 - 2¹¹ = 222493 is a prime.

It is a Duffinian number.

It is a Curzon number.

224541 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345 + ... + 753.

2²²⁴⁵⁴¹ is an apocalyptic number.

It is an amenable number.

224541 is a deficient number, since it is larger than the sum of its proper divisors (105919).

224541 is a wasteful number, since it uses less digits than its factorization.

224541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 473 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 224541 is about 473.8575735387. The cubic root of 224541 is about 60.7806328261.

Adding to 224541 its reverse (145422), we get a palindrome (369963).

The spelling of 224541 in words is "two hundred twenty-four thousand, five hundred forty-one".