225601 has 2 divisors, whose sum is σ = 225602. Its totient is φ = 225600.

The previous prime is 225583. The next prime is 225611. The reversal of 225601 is 106522.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 102400 = 351^2 + 320^2 .

It is a cyclic number.

It is not a de Polignac number, because 225601 - 2⁵ = 225569 is a prime.

It is a super-2 number, since 2×225601² = 101791622402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (225611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112800 + 112801.

It is an arithmetic number, because the mean of its divisors is an integer number (112801).

2²²⁵⁶⁰¹ is an apocalyptic number.

It is an amenable number.

225601 is a deficient number, since it is larger than the sum of its proper divisors (1).

225601 is an equidigital number, since it uses as much as digits as its factorization.

225601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 225601 is about 474.9747361703. The cubic root of 225601 is about 60.8761259344.

The spelling of 225601 in words is "two hundred twenty-five thousand, six hundred one".