225945 has 12 divisors (see below), whose sum is σ = 391716. Its totient is φ = 120480.

The previous prime is 225943. The next prime is 225949. The reversal of 225945 is 549522.

It can be written as a sum of positive squares in 2 ways, for example, as 149769 + 76176 = 387^2 + 276^2 .

It is not a de Polignac number, because 225945 - 2¹ = 225943 is a prime.

It is a super-2 number, since 2×225945² = 102102286050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2466 + ... + 2555.

It is an arithmetic number, because the mean of its divisors is an integer number (32643).

2²²⁵⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

225945 is a deficient number, since it is larger than the sum of its proper divisors (165771).

225945 is a wasteful number, since it uses less digits than its factorization.

225945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5029 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 225945 is about 475.3367227556. The cubic root of 225945 is about 60.9070518499.

It can be divided in two parts, 2259 and 45, that added together give a square (2304 = 48²).

The spelling of 225945 in words is "two hundred twenty-five thousand, nine hundred forty-five".