427967 has 2 divisors, whose sum is σ = 427968. Its totient is φ = 427966.

The previous prime is 427957. The next prime is 427969. The reversal of 427967 is 769724.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 427967 - 2⁴ = 427951 is a prime.

Together with 427969, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 4³ + 2¹⁷ + 9² + 7 + 6⁷ + 7⁵ .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (427969) 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, 213983 + 213984.

It is an arithmetic number, because the mean of its divisors is an integer number (213984).

2⁴²⁷⁹⁶⁷ is an apocalyptic number.

427967 is a deficient number, since it is larger than the sum of its proper divisors (1).

427967 is an equidigital number, since it uses as much as digits as its factorization.

427967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 35.

The square root of 427967 is about 654.1918678798. The cubic root of 427967 is about 75.3592835303.

The spelling of 427967 in words is "four hundred twenty-seven thousand, nine hundred sixty-seven".