225961 has 2 divisors, whose sum is σ = 225962. Its totient is φ = 225960.

The previous prime is 225949. The next prime is 225977. The reversal of 225961 is 169522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126736 + 99225 = 356^2 + 315^2 .

It is a cyclic number.

It is not a de Polignac number, because 225961 - 2¹⁷ = 94889 is a prime.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (225931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112980 + 112981.

It is an arithmetic number, because the mean of its divisors is an integer number (112981).

2²²⁵⁹⁶¹ is an apocalyptic number.

It is an amenable number.

225961 is a deficient number, since it is larger than the sum of its proper divisors (1).

225961 is an equidigital number, since it uses as much as digits as its factorization.

225961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080, while the sum is 25.

The square root of 225961 is about 475.3535526321. The cubic root of 225961 is about 60.9084895004.

It can be divided in two parts, 225 and 961, that multiplied together give a square (216225 = 465²).

The spelling of 225961 in words is "two hundred twenty-five thousand, nine hundred sixty-one".