225213 has 8 divisors (see below), whose sum is σ = 307776. Its totient is φ = 146400.

The previous prime is 225167. The next prime is 225217. The reversal of 225213 is 312522.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 225213 - 2⁶ = 225149 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 225192 and 225201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (38472).

2²²⁵²¹³ is an apocalyptic number.

It is an amenable number.

225213 is a deficient number, since it is larger than the sum of its proper divisors (82563).

225213 is a wasteful number, since it uses less digits than its factorization.

225213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875.

The product of its digits is 120, while the sum is 15.

The square root of 225213 is about 474.5661176275. The cubic root of 225213 is about 60.8412066288.

Adding to 225213 its reverse (312522), we get a palindrome (537735).

The spelling of 225213 in words is "two hundred twenty-five thousand, two hundred thirteen".