420312517 has 2 divisors, whose sum is σ = 420312518. Its totient is φ = 420312516.

The previous prime is 420312491. The next prime is 420312521. The reversal of 420312517 is 715213024.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282038436 + 138274081 = 16794^2 + 11759^2 .

It is a cyclic number.

It is not a de Polignac number, because 420312517 - 2¹¹ = 420310469 is a prime.

It is a super-2 number, since 2×420312517² = 353325223893750578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420312491 and 420312500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420312527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210156258 + 210156259.

It is an arithmetic number, because the mean of its divisors is an integer number (210156259).

Almost surely, 2^420312517 is an apocalyptic number.

It is an amenable number.

420312517 is a deficient number, since it is larger than the sum of its proper divisors (1).

420312517 is an equidigital number, since it uses as much as digits as its factorization.

420312517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 420312517 is about 20501.5247481742. The cubic root of 420312517 is about 749.0729386968.

The spelling of 420312517 in words is "four hundred twenty million, three hundred twelve thousand, five hundred seventeen".