431901 has 12 divisors (see below), whose sum is σ = 641212. Its totient is φ = 279936.

The previous prime is 431891. The next prime is 431903. The reversal of 431901 is 109134.

It can be written as a sum of positive squares in 2 ways, for example, as 416025 + 15876 = 645^2 + 126^2 .

It is not a de Polignac number, because 431901 - 2⁵ = 431869 is a prime.

It is a Duffinian number.

431901 is an undulating number in base 6.

It is a Curzon number.

431901 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316 + ... + 981.

2⁴³¹⁹⁰¹ is an apocalyptic number.

It is an amenable number.

431901 is a deficient number, since it is larger than the sum of its proper divisors (209311).

431901 is a wasteful number, since it uses less digits than its factorization.

431901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1337 counting only the distinct ones).

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

The square root of 431901 is about 657.1917528393. The cubic root of 431901 is about 75.5894879144.

The spelling of 431901 in words is "four hundred thirty-one thousand, nine hundred one".