427680017 has 2 divisors, whose sum is σ = 427680018. Its totient is φ = 427680016.

The previous prime is 427679981. The next prime is 427680049. The reversal of 427680017 is 710086724.

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., 365727376 + 61952641 = 19124^2 + 7871^2 .

It is a cyclic number.

It is not a de Polignac number, because 427680017 - 2⁶ = 427679953 is a prime.

It is a super-2 number, since 2×427680017² = 365820393882240578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (427680217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213840008 + 213840009.

It is an arithmetic number, because the mean of its divisors is an integer number (213840009).

Almost surely, 2^427680017 is an apocalyptic number.

It is an amenable number.

427680017 is a deficient number, since it is larger than the sum of its proper divisors (1).

427680017 is an equidigital number, since it uses as much as digits as its factorization.

427680017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 427680017 is about 20680.4259385536. The cubic root of 427680017 is about 753.4243513690.

The spelling of 427680017 in words is "four hundred twenty-seven million, six hundred eighty thousand, seventeen".