419821 has 2 divisors, whose sum is σ = 419822. Its totient is φ = 419820.

The previous prime is 419803. The next prime is 419827. The reversal of 419821 is 128914.

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., 346921 + 72900 = 589^2 + 270^2 .

It is a cyclic number.

It is not a de Polignac number, because 419821 - 2⁵ = 419789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (419827) 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, 209910 + 209911.

It is an arithmetic number, because the mean of its divisors is an integer number (209911).

2⁴¹⁹⁸²¹ is an apocalyptic number.

It is an amenable number.

419821 is a deficient number, since it is larger than the sum of its proper divisors (1).

419821 is an equidigital number, since it uses as much as digits as its factorization.

419821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 25.

The square root of 419821 is about 647.9359536250. The cubic root of 419821 is about 74.8780834068.

The spelling of 419821 in words is "four hundred nineteen thousand, eight hundred twenty-one".