8419 has 2 divisors, whose sum is σ = 8420. Its totient is φ = 8418.

The previous prime is 8389. The next prime is 8423. The reversal of 8419 is 9148.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8419 - 2⁵ = 8387 is a prime.

It is a super-2 number, since 2×8419² = 141759122, which contains 22 as substring.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 8419.

It is not a weakly prime, because it can be changed into another prime (8429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4209 + 4210.

It is an arithmetic number, because the mean of its divisors is an integer number (4210).

2⁸⁴¹⁹ is an apocalyptic number.

8419 is a deficient number, since it is larger than the sum of its proper divisors (1).

8419 is an equidigital number, since it uses as much as digits as its factorization.

8419 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 22.

The square root of 8419 is about 91.7551088496. The cubic root of 8419 is about 20.3432422067.

Subtracting 8419 from its reverse (9148), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 841 and 9, that multiplied together give a square (7569 = 87²).

The spelling of 8419 in words is "eight thousand, four hundred nineteen".