420193 has 2 divisors, whose sum is σ = 420194. Its totient is φ = 420192.

The previous prime is 420191. The next prime is 420221. The reversal of 420193 is 391024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 289 = 648^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 420193 - 2¹ = 420191 is a prime.

Together with 420191, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 420193.

It is not a weakly prime, because it can be changed into another prime (420191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210096 + 210097.

It is an arithmetic number, because the mean of its divisors is an integer number (210097).

2⁴²⁰¹⁹³ is an apocalyptic number.

It is an amenable number.

420193 is a deficient number, since it is larger than the sum of its proper divisors (1).

420193 is an equidigital number, since it uses as much as digits as its factorization.

420193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 420193 is about 648.2229554713. Note that the first 3 decimals coincide. The cubic root of 420193 is about 74.9001931661.

The spelling of 420193 in words is "four hundred twenty thousand, one hundred ninety-three".