225971257 has 2 divisors, whose sum is σ = 225971258. Its totient is φ = 225971256.

The previous prime is 225971177. The next prime is 225971261. The reversal of 225971257 is 752179522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133888041 + 92083216 = 11571^2 + 9596^2 .

It is a cyclic number.

It is not a de Polignac number, because 225971257 - 2⁷ = 225971129 is a prime.

It is not a weakly prime, because it can be changed into another prime (225975257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112985628 + 112985629.

It is an arithmetic number, because the mean of its divisors is an integer number (112985629).

Almost surely, 2^225971257 is an apocalyptic number.

It is an amenable number.

225971257 is a deficient number, since it is larger than the sum of its proper divisors (1).

225971257 is an equidigital number, since it uses as much as digits as its factorization.

225971257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 88200, while the sum is 40.

The square root of 225971257 is about 15032.3403700156. The cubic root of 225971257 is about 609.0941108852.

The spelling of 225971257 in words is "two hundred twenty-five million, nine hundred seventy-one thousand, two hundred fifty-seven".