427993 has 2 divisors, whose sum is σ = 427994. Its totient is φ = 427992.

The previous prime is 427991. The next prime is 427997. The reversal of 427993 is 399724.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 205209 = 472^2 + 453^2 .

It is a cyclic number.

It is not a de Polignac number, because 427993 - 2¹ = 427991 is a prime.

Together with 427991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (427991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213996 + 213997.

It is an arithmetic number, because the mean of its divisors is an integer number (213997).

2⁴²⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

427993 is a deficient number, since it is larger than the sum of its proper divisors (1).

427993 is an equidigital number, since it uses as much as digits as its factorization.

427993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 34.

The square root of 427993 is about 654.2117394239. The cubic root of 427993 is about 75.3608095839.

The spelling of 427993 in words is "four hundred twenty-seven thousand, nine hundred ninety-three".