419561 has 2 divisors, whose sum is σ = 419562. Its totient is φ = 419560.

The previous prime is 419557. The next prime is 419563. The reversal of 419561 is 165914.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 354025 + 65536 = 595^2 + 256^2 .

It is a cyclic number.

It is not a de Polignac number, because 419561 - 2² = 419557 is a prime.

Together with 419563, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 419561.

It is not a weakly prime, because it can be changed into another prime (419563) 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, 209780 + 209781.

It is an arithmetic number, because the mean of its divisors is an integer number (209781).

2⁴¹⁹⁵⁶¹ is an apocalyptic number.

It is an amenable number.

419561 is a deficient number, since it is larger than the sum of its proper divisors (1).

419561 is an equidigital number, since it uses as much as digits as its factorization.

419561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 26.

The square root of 419561 is about 647.7352854369. The cubic root of 419561 is about 74.8626225937.

The spelling of 419561 in words is "four hundred nineteen thousand, five hundred sixty-one".