225313 has 4 divisors (see below), whose sum is σ = 245808. Its totient is φ = 204820.

The previous prime is 225307. The next prime is 225341. The reversal of 225313 is 313522.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 225313 - 2¹³ = 217121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225343) 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 3 ways as a sum of consecutive naturals, for example, 10231 + ... + 10252.

It is an arithmetic number, because the mean of its divisors is an integer number (61452).

2²²⁵³¹³ is an apocalyptic number.

It is an amenable number.

225313 is a deficient number, since it is larger than the sum of its proper divisors (20495).

225313 is a wasteful number, since it uses less digits than its factorization.

225313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20494.

The product of its digits is 180, while the sum is 16.

The square root of 225313 is about 474.6714653315. The cubic root of 225313 is about 60.8502102837.

Adding to 225313 its reverse (313522), we get a palindrome (538835).

Subtracting 225313 from its reverse (313522), we obtain a square (88209 = 297²).

It can be divided in two parts, 22 and 5313, that multiplied together give a triangular number (116886 = T₄₈₃).

The spelling of 225313 in words is "two hundred twenty-five thousand, three hundred thirteen".