431109 has 16 divisors (see below), whose sum is σ = 730240. Its totient is φ = 246240.

The previous prime is 431107. The next prime is 431141. The reversal of 431109 is 901134.

It is not a de Polignac number, because 431109 - 2¹ = 431107 is a prime.

It is a Curzon number.

431109 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 431091 and 431100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952 + ... + 1329.

It is an arithmetic number, because the mean of its divisors is an integer number (45640).

2⁴³¹¹⁰⁹ is an apocalyptic number.

It is an amenable number.

431109 is a deficient number, since it is larger than the sum of its proper divisors (299131).

431109 is a wasteful number, since it uses less digits than its factorization.

431109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 431109 is about 656.5889124863. The cubic root of 431109 is about 75.5432554788.

It can be divided in two parts, 4 and 31109, that added together give a palindrome (31113).

The spelling of 431109 in words is "four hundred thirty-one thousand, one hundred nine".