420563 has 16 divisors (see below), whose sum is σ = 526176. Its totient is φ = 330240.

The previous prime is 420557. The next prime is 420569. The reversal of 420563 is 365024.

It is an interprime number because it is at equal distance from previous prime (420557) and next prime (420569).

It is a cyclic number.

It is not a de Polignac number, because 420563 - 2⁶ = 420499 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420563.

It is not an unprimeable number, because it can be changed into a prime (420569) 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 in 15 ways as a sum of consecutive naturals, for example, 2345 + ... + 2517.

It is an arithmetic number, because the mean of its divisors is an integer number (32886).

2⁴²⁰⁵⁶³ is an apocalyptic number.

420563 is a deficient number, since it is larger than the sum of its proper divisors (105613).

420563 is a wasteful number, since it uses less digits than its factorization.

420563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 420563 is about 648.5082883048. The cubic root of 420563 is about 74.9221711153.

Adding to 420563 its reverse (365024), we get a palindrome (785587).

The spelling of 420563 in words is "four hundred twenty thousand, five hundred sixty-three".