224257 has 16 divisors (see below), whose sum is σ = 273600. Its totient is φ = 181440.

The previous prime is 224251. The next prime is 224261. The reversal of 224257 is 752422.

It is a cyclic number.

It is not a de Polignac number, because 224257 - 2⁷ = 224129 is a prime.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224251) 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 in 15 ways as a sum of consecutive naturals, for example, 6043 + ... + 6079.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

It is a Proth number, since it is equal to 219 ⋅ 2¹⁰ + 1 and 219 < 2¹⁰.

2²²⁴²⁵⁷ is an apocalyptic number.

It is an amenable number.

224257 is a deficient number, since it is larger than the sum of its proper divisors (49343).

224257 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (224256) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (96).

224257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96.

The product of its digits is 1120, while the sum is 22.

The square root of 224257 is about 473.5578106208. The cubic root of 224257 is about 60.7549968511.

Adding to 224257 its reverse (752422), we get a palindrome (976679).

The spelling of 224257 in words is "two hundred twenty-four thousand, two hundred fifty-seven".