420353 has 2 divisors, whose sum is σ = 420354. Its totient is φ = 420352.

The previous prime is 420349. The next prime is 420361. The reversal of 420353 is 353024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 237169 + 183184 = 487^2 + 428^2 .

It is a cyclic number.

It is not a de Polignac number, because 420353 - 2² = 420349 is a prime.

It is a plaindrome in base 11.

It is not a weakly prime, because it can be changed into another prime (420313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210176 + 210177.

It is an arithmetic number, because the mean of its divisors is an integer number (210177).

2⁴²⁰³⁵³ is an apocalyptic number.

It is an amenable number.

420353 is a deficient number, since it is larger than the sum of its proper divisors (1).

420353 is an equidigital number, since it uses as much as digits as its factorization.

420353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 420353 is about 648.3463580525. The cubic root of 420353 is about 74.9096987268.

Adding to 420353 its reverse (353024), we get a palindrome (773377).

The spelling of 420353 in words is "four hundred twenty thousand, three hundred fifty-three".