225361 has 4 divisors (see below), whose sum is σ = 226800. Its totient is φ = 223924.

The previous prime is 225353. The next prime is 225371. The reversal of 225361 is 163522.

It is a happy number.

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, and also an emirpimes, since its reverse is a distinct semiprime: 163522 = 2 ⋅81761.

It is a cyclic number.

It is not a de Polignac number, because 225361 - 2³ = 225353 is a prime.

It is a Duffinian number.

225361 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (225341) 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, 451 + ... + 808.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2²²⁵³⁶¹ is an apocalyptic number.

It is an amenable number.

225361 is a deficient number, since it is larger than the sum of its proper divisors (1439).

225361 is a wasteful number, since it uses less digits than its factorization.

225361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438.

The product of its digits is 360, while the sum is 19.

The square root of 225361 is about 474.7220239256. The cubic root of 225361 is about 60.8545310918.

Adding to 225361 its reverse (163522), we get a palindrome (388883).

It can be divided in two parts, 225 and 361, that multiplied together give a square (81225 = 285²).

The spelling of 225361 in words is "two hundred twenty-five thousand, three hundred sixty-one".