420323993 has 2 divisors, whose sum is σ = 420323994. Its totient is φ = 420323992.

The previous prime is 420323957. The next prime is 420324013. The reversal of 420323993 is 399323024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 397922704 + 22401289 = 19948^2 + 4733^2 .

It is a cyclic number.

It is not a de Polignac number, because 420323993 - 2¹² = 420319897 is a prime.

It is not a weakly prime, because it can be changed into another prime (420323933) 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, 210161996 + 210161997.

It is an arithmetic number, because the mean of its divisors is an integer number (210161997).

Almost surely, 2^420323993 is an apocalyptic number.

It is an amenable number.

420323993 is a deficient number, since it is larger than the sum of its proper divisors (1).

420323993 is an equidigital number, since it uses as much as digits as its factorization.

420323993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 35.

The square root of 420323993 is about 20501.8046278858. The cubic root of 420323993 is about 749.0797560707.

The spelling of 420323993 in words is "four hundred twenty million, three hundred twenty-three thousand, nine hundred ninety-three".