224925 has 12 divisors (see below), whose sum is σ = 372000. Its totient is φ = 119920.

The previous prime is 224921. The next prime is 224929. The reversal of 224925 is 529422.

224925 = 41² + 42² + ... + 90².

It is an interprime number because it is at equal distance from previous prime (224921) and next prime (224929).

It is not a de Polignac number, because 224925 - 2² = 224921 is a prime.

It is a Curzon number.

224925 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 224895 and 224904.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 224925.

It is not an unprimeable number, because it can be changed into a prime (224921) 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, 1425 + ... + 1574.

It is an arithmetic number, because the mean of its divisors is an integer number (31000).

2²²⁴⁹²⁵ is an apocalyptic number.

224925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224925 is a deficient number, since it is larger than the sum of its proper divisors (147075).

224925 is a wasteful number, since it uses less digits than its factorization.

224925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3007 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 224925 is about 474.2625854946. The cubic root of 224925 is about 60.8152612025.

The spelling of 224925 in words is "two hundred twenty-four thousand, nine hundred twenty-five".