224953 has 4 divisors (see below), whose sum is σ = 232740. Its totient is φ = 217168.

The previous prime is 224951. The next prime is 224969. The reversal of 224953 is 359422.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 71289 = 392^2 + 267^2 .

It is a cyclic number.

It is not a de Polignac number, because 224953 - 2¹ = 224951 is a prime.

It is a d-powerful number, because it can be written as 2⁹ + 2¹¹ + 9⁵ + 4⁸ + 5⁷ + 3⁹ .

It is a Duffinian number.

224953 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (224951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3850 + ... + 3907.

It is an arithmetic number, because the mean of its divisors is an integer number (58185).

2²²⁴⁹⁵³ is an apocalyptic number.

It is an amenable number.

224953 is a deficient number, since it is larger than the sum of its proper divisors (7787).

224953 is an equidigital number, since it uses as much as digits as its factorization.

224953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786.

The product of its digits is 2160, while the sum is 25.

The square root of 224953 is about 474.2921040878. The cubic root of 224953 is about 60.8177846461.

The spelling of 224953 in words is "two hundred twenty-four thousand, nine hundred fifty-three".