427638017 has 2 divisors, whose sum is σ = 427638018. Its totient is φ = 427638016.

The previous prime is 427637993. The next prime is 427638037. The reversal of 427638017 is 710836724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274101136 + 153536881 = 16556^2 + 12391^2 .

It is a cyclic number.

It is not a de Polignac number, because 427638017 - 2⁶ = 427637953 is a prime.

It is equal to p_22729169 and since 427638017 and 22729169 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (427638037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213819008 + 213819009.

It is an arithmetic number, because the mean of its divisors is an integer number (213819009).

Almost surely, 2^427638017 is an apocalyptic number.

It is an amenable number.

427638017 is a deficient number, since it is larger than the sum of its proper divisors (1).

427638017 is an equidigital number, since it uses as much as digits as its factorization.

427638017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 427638017 is about 20679.4104606490. The cubic root of 427638017 is about 753.3996874011.

The spelling of 427638017 in words is "four hundred twenty-seven million, six hundred thirty-eight thousand, seventeen".