420585233 has 2 divisors, whose sum is σ = 420585234. Its totient is φ = 420585232.

The previous prime is 420585211. The next prime is 420585251. The reversal of 420585233 is 332585024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274465489 + 146119744 = 16567^2 + 12088^2 .

It is a cyclic number.

It is not a de Polignac number, because 420585233 - 2⁸ = 420584977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420585233.

It is not a weakly prime, because it can be changed into another prime (420585433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210292616 + 210292617.

It is an arithmetic number, because the mean of its divisors is an integer number (210292617).

Almost surely, 2^420585233 is an apocalyptic number.

It is an amenable number.

420585233 is a deficient number, since it is larger than the sum of its proper divisors (1).

420585233 is an equidigital number, since it uses as much as digits as its factorization.

420585233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 420585233 is about 20508.1747847048. The cubic root of 420585233 is about 749.2349134184.

The spelling of 420585233 in words is "four hundred twenty million, five hundred eighty-five thousand, two hundred thirty-three".