419057 has 2 divisors, whose sum is σ = 419058. Its totient is φ = 419056.

The previous prime is 419053. The next prime is 419059. The reversal of 419057 is 750914.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379456 + 39601 = 616^2 + 199^2 .

It is a cyclic number.

It is not a de Polignac number, because 419057 - 2² = 419053 is a prime.

Together with 419059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (419051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 209528 + 209529.

It is an arithmetic number, because the mean of its divisors is an integer number (209529).

2⁴¹⁹⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

419057 is a deficient number, since it is larger than the sum of its proper divisors (1).

419057 is an equidigital number, since it uses as much as digits as its factorization.

419057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 419057 is about 647.3461207113. The cubic root of 419057 is about 74.8326342011.

The spelling of 419057 in words is "four hundred nineteen thousand, fifty-seven".