225641 has 8 divisors (see below), whose sum is σ = 257544. Its totient is φ = 195840.

The previous prime is 225637. The next prime is 225671. The reversal of 225641 is 146522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32041 + 193600 = 179^2 + 440^2 .

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

It is not a de Polignac number, because 225641 - 2² = 225637 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (225601) 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, 290 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (32193).

2²²⁵⁶⁴¹ is an apocalyptic number.

It is an amenable number.

225641 is a deficient number, since it is larger than the sum of its proper divisors (31903).

225641 is a wasteful number, since it uses less digits than its factorization.

225641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051.

The product of its digits is 480, while the sum is 20.

The square root of 225641 is about 475.0168418067. The cubic root of 225641 is about 60.8797235856.

The spelling of 225641 in words is "two hundred twenty-five thousand, six hundred forty-one".