420006589 has 2 divisors, whose sum is σ = 420006590. Its totient is φ = 420006588.

The previous prime is 420006563. The next prime is 420006659. The reversal of 420006589 is 985600024.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 405337689 + 14668900 = 20133^2 + 3830^2 .

It is a cyclic number.

It is not a de Polignac number, because 420006589 - 2¹⁵ = 419973821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420006089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210003294 + 210003295.

It is an arithmetic number, because the mean of its divisors is an integer number (210003295).

Almost surely, 2^420006589 is an apocalyptic number.

It is an amenable number.

420006589 is a deficient number, since it is larger than the sum of its proper divisors (1).

420006589 is an equidigital number, since it uses as much as digits as its factorization.

420006589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 420006589 is about 20494.0622864282. The cubic root of 420006589 is about 748.8911549061.

The spelling of 420006589 in words is "four hundred twenty million, six thousand, five hundred eighty-nine".