225261 has 16 divisors (see below), whose sum is σ = 341120. Its totient is φ = 148716.

The previous prime is 225257. The next prime is 225263. The reversal of 225261 is 162522.

It is not a de Polignac number, because 225261 - 2² = 225257 is a prime.

It is a Duffinian number.

225261 is a lucky number.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2136 + ... + 2238.

It is an arithmetic number, because the mean of its divisors is an integer number (21320).

2²²⁵²⁶¹ is an apocalyptic number.

It is an amenable number.

225261 is a deficient number, since it is larger than the sum of its proper divisors (115859).

225261 is an frugal number, since it uses more digits than its factorization.

225261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 225261 is about 474.6166874437. The cubic root of 225261 is about 60.8455287157.

Adding to 225261 its reverse (162522), we get a palindrome (387783).

The spelling of 225261 in words is "two hundred twenty-five thousand, two hundred sixty-one".