431312617 has 2 divisors, whose sum is σ = 431312618. Its totient is φ = 431312616.

The previous prime is 431312573. The next prime is 431312633. The reversal of 431312617 is 716213134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 431143696 + 168921 = 20764^2 + 411^2 .

It is a cyclic number.

It is not a de Polignac number, because 431312617 - 2²³ = 422924009 is a prime.

It is not a weakly prime, because it can be changed into another prime (431312647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215656308 + 215656309.

It is an arithmetic number, because the mean of its divisors is an integer number (215656309).

Almost surely, 2^431312617 is an apocalyptic number.

It is an amenable number.

431312617 is a deficient number, since it is larger than the sum of its proper divisors (1).

431312617 is an equidigital number, since it uses as much as digits as its factorization.

431312617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 431312617 is about 20768.0672427648. The cubic root of 431312617 is about 755.5514687984.

The spelling of 431312617 in words is "four hundred thirty-one million, three hundred twelve thousand, six hundred seventeen".