431729 has 2 divisors, whose sum is σ = 431730. Its totient is φ = 431728.

The previous prime is 431707. The next prime is 431731. The reversal of 431729 is 927134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 429025 + 2704 = 655^2 + 52^2 .

It is a cyclic number.

It is not a de Polignac number, because 431729 - 2¹⁶ = 366193 is a prime.

Together with 431731, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 431698 and 431707.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431729.

It is not a weakly prime, because it can be changed into another prime (431759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215864 + 215865.

It is an arithmetic number, because the mean of its divisors is an integer number (215865).

2⁴³¹⁷²⁹ is an apocalyptic number.

It is an amenable number.

431729 is a deficient number, since it is larger than the sum of its proper divisors (1).

431729 is an equidigital number, since it uses as much as digits as its factorization.

431729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 26.

The square root of 431729 is about 657.0608799799. The cubic root of 431729 is about 75.5794523443.

It can be divided in two parts, 43 and 1729, that multiplied together give a palindrome (74347).

The spelling of 431729 in words is "four hundred thirty-one thousand, seven hundred twenty-nine".