420242993 has 2 divisors, whose sum is σ = 420242994. Its totient is φ = 420242992.

The previous prime is 420242983. The next prime is 420243049. The reversal of 420242993 is 399242024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 265787809 + 154455184 = 16303^2 + 12428^2 .

It is a cyclic number.

It is not a de Polignac number, because 420242993 - 2²⁰ = 419194417 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (420242903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210121496 + 210121497.

It is an arithmetic number, because the mean of its divisors is an integer number (210121497).

Almost surely, 2^420242993 is an apocalyptic number.

It is an amenable number.

420242993 is a deficient number, since it is larger than the sum of its proper divisors (1).

420242993 is an equidigital number, since it uses as much as digits as its factorization.

420242993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 420242993 is about 20499.8290968486. The cubic root of 420242993 is about 749.0316349711.

The spelling of 420242993 in words is "four hundred twenty million, two hundred forty-two thousand, nine hundred ninety-three".