427305257 has 2 divisors, whose sum is σ = 427305258. Its totient is φ = 427305256.

The previous prime is 427305253. The next prime is 427305283. The reversal of 427305257 is 752503724.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 323856016 + 103449241 = 17996^2 + 10171^2 .

It is a cyclic number.

It is not a de Polignac number, because 427305257 - 2² = 427305253 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (427305253) 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, 213652628 + 213652629.

It is an arithmetic number, because the mean of its divisors is an integer number (213652629).

Almost surely, 2^427305257 is an apocalyptic number.

It is an amenable number.

427305257 is a deficient number, since it is larger than the sum of its proper divisors (1).

427305257 is an equidigital number, since it uses as much as digits as its factorization.

427305257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58800, while the sum is 35.

The square root of 427305257 is about 20671.3632109738. The cubic root of 427305257 is about 753.2042212010.

The spelling of 427305257 in words is "four hundred twenty-seven million, three hundred five thousand, two hundred fifty-seven".