420613 has 2 divisors, whose sum is σ = 420614. Its totient is φ = 420612.

The previous prime is 420599. The next prime is 420671. The reversal of 420613 is 316024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 277729 + 142884 = 527^2 + 378^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-420613 is a prime.

420613 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210306 + 210307.

It is an arithmetic number, because the mean of its divisors is an integer number (210307).

2⁴²⁰⁶¹³ is an apocalyptic number.

It is an amenable number.

420613 is a deficient number, since it is larger than the sum of its proper divisors (1).

420613 is an equidigital number, since it uses as much as digits as its factorization.

420613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 420613 is about 648.5468371675. The cubic root of 420613 is about 74.9251401197.

Adding to 420613 its reverse (316024), we get a palindrome (736637).

The spelling of 420613 in words is "four hundred twenty thousand, six hundred thirteen".