224825 has 18 divisors (see below), whose sum is σ = 308574. Its totient is φ = 161920.

The previous prime is 224813. The next prime is 224831. The reversal of 224825 is 528422.

It can be written as a sum of positive squares in 3 ways, for example, as 33856 + 190969 = 184^2 + 437^2 .

It is not a de Polignac number, because 224825 - 2⁸ = 224569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 224825.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 9764 + ... + 9786.

It is an arithmetic number, because the mean of its divisors is an integer number (17143).

2²²⁴⁸²⁵ is an apocalyptic number.

224825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224825 is a deficient number, since it is larger than the sum of its proper divisors (83749).

224825 is a wasteful number, since it uses less digits than its factorization.

224825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 45 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 224825 is about 474.1571469460. The cubic root of 224825 is about 60.8062471940.

The spelling of 224825 in words is "two hundred twenty-four thousand, eight hundred twenty-five".