419 has 2 divisors, whose sum is σ = 420.
Its totient is φ = 418.
The previous prime is 409. The next prime is 421. The reversal of 419 is 914.
419 is nontrivially palindromic in base 9.
It is a strong prime.
It is a cyclic number.
It is not a de Polignac number, because 419 - 28 = 163 is a prime.
It is a super-2 number, since 2×4192 = 351122, which contains 22 as substring.
It is a Sophie Germain prime.
Together with 421, it forms a pair of twin primes.
It is a Chen prime.
419 is an undulating number in base 9.
It is a plaindrome in base 7, base 12 and base 15.
It is a nialpdrome in base 8.
It is not a weakly prime, because it can be changed into another prime (409) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a good prime.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 209 + 210.
It is an arithmetic number, because the mean of its divisors is an integer number (210).
419 is a deficient number, since it is larger than the sum of its proper divisors (1).
419 is an equidigital number, since it uses as much as digits as its factorization.
419 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 36, while the sum is 14.
The square root of 419 is about 20.4694894905.
The cubic root of 419 is about 7.4829241144.
Subtracting from 419 its product of digits (36), we obtain a palindrome (383).
The spelling of 419 in words is "four hundred nineteen", and thus it is an aban number.