431766841 has 9 divisors (see below), whose sum is σ = 474838063. Its totient is φ = 392307520.

The previous prime is 431766823. The next prime is 431766847. The reversal of 431766841 is 148667134.

The square root of 431766841 is 20779.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 207965241 + 223801600 = 14421^2 + 14960^2 .

It is not a de Polignac number, because 431766841 - 2⁵ = 431766809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431766794 and 431766803.

It is not an unprimeable number, because it can be changed into a prime (431766847) 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 in 8 ways as a sum of consecutive naturals, for example, 227625 + ... + 229513.

Almost surely, 2^431766841 is an apocalyptic number.

431766841 is the 20779-th square number.

431766841 is the 10390-th centered octagonal number.

It is an amenable number.

431766841 is a deficient number, since it is larger than the sum of its proper divisors (43071222).

431766841 is an frugal number, since it uses more digits than its factorization.

431766841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 1900 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The cubic root of 431766841 is about 755.8166045676.

The spelling of 431766841 in words is "four hundred thirty-one million, seven hundred sixty-six thousand, eight hundred forty-one".