431985 has 16 divisors (see below), whose sum is σ = 714240. Its totient is φ = 222720.

The previous prime is 431983. The next prime is 431993. The reversal of 431985 is 589134.

431985 is a nontrivial binomial coefficient, being equal to C(930, 2).

It is not a de Polignac number, because 431985 - 2¹ = 431983 is a prime.

It is a super-2 number, since 2×431985² = 373222080450, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431985.

It is not an unprimeable number, because it can be changed into a prime (431983) 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 15 ways as a sum of consecutive naturals, for example, 1 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (44640).

2⁴³¹⁹⁸⁵ is an apocalyptic number.

431985 is the 929-th triangular number and also the 465-th hexagonal number.

It is an amenable number.

431985 is a deficient number, since it is larger than the sum of its proper divisors (282255).

431985 is a wasteful number, since it uses less digits than its factorization.

431985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968.

The product of its digits is 4320, while the sum is 30.

The square root of 431985 is about 657.2556580205. The cubic root of 431985 is about 75.5943880384.

The spelling of 431985 in words is "four hundred thirty-one thousand, nine hundred eighty-five".