431809117 has 2 divisors, whose sum is σ = 431809118. Its totient is φ = 431809116.

The previous prime is 431809109. The next prime is 431809121. The reversal of 431809117 is 711908134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228432996 + 203376121 = 15114^2 + 14261^2 .

It is a cyclic number.

It is not a de Polignac number, because 431809117 - 2³ = 431809109 is a prime.

It is a super-2 number, since 2×431809117² = 372918227048639378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (431809127) 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, 215904558 + 215904559.

It is an arithmetic number, because the mean of its divisors is an integer number (215904559).

Almost surely, 2^431809117 is an apocalyptic number.

It is an amenable number.

431809117 is a deficient number, since it is larger than the sum of its proper divisors (1).

431809117 is an equidigital number, since it uses as much as digits as its factorization.

431809117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 431809117 is about 20780.0172521584. The cubic root of 431809117 is about 755.8412720941.

The spelling of 431809117 in words is "four hundred thirty-one million, eight hundred nine thousand, one hundred seventeen".