420593 has 2 divisors, whose sum is σ = 420594. Its totient is φ = 420592.

The previous prime is 420571. The next prime is 420599. The reversal of 420593 is 395024.

420593 is nontrivially palindromic in base 15.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 322624 + 97969 = 568^2 + 313^2 .

It is a cyclic number.

It is not a de Polignac number, because 420593 - 2¹² = 416497 is a prime.

It is not a weakly prime, because it can be changed into another prime (420599) 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, 210296 + 210297.

It is an arithmetic number, because the mean of its divisors is an integer number (210297).

2⁴²⁰⁵⁹³ is an apocalyptic number.

It is an amenable number.

420593 is a deficient number, since it is larger than the sum of its proper divisors (1).

420593 is an equidigital number, since it uses as much as digits as its factorization.

420593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 420593 is about 648.5314178974. The cubic root of 420593 is about 74.9239525462.

The spelling of 420593 in words is "four hundred twenty thousand, five hundred ninety-three".