431329 has 2 divisors, whose sum is σ = 431330. Its totient is φ = 431328.

The previous prime is 431311. The next prime is 431339. The reversal of 431329 is 923134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 429025 + 2304 = 655^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 431329 - 2⁵ = 431297 is a prime.

It is equal to p₃₆₂₆₅ and since 431329 and 36265 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (431339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215664 + 215665.

It is an arithmetic number, because the mean of its divisors is an integer number (215665).

2⁴³¹³²⁹ is an apocalyptic number.

It is an amenable number.

431329 is a deficient number, since it is larger than the sum of its proper divisors (1).

431329 is an equidigital number, since it uses as much as digits as its factorization.

431329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 22.

The square root of 431329 is about 656.7564236458. The cubic root of 431329 is about 75.5561034979.

It can be divided in two parts, 4 and 31329, that multiplied together give a square (125316 = 354²).

The spelling of 431329 in words is "four hundred thirty-one thousand, three hundred twenty-nine".