431973 has 10 divisors (see below), whose sum is σ = 645414. Its totient is φ = 287928.

The previous prime is 431947. The next prime is 431983. The reversal of 431973 is 379134.

It can be written as a sum of positive squares in only one way, i.e., 431649 + 324 = 657^2 + 18^2 .

It is not a de Polignac number, because 431973 - 2¹⁰ = 430949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

431973 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 9 ways as a sum of consecutive naturals, for example, 2586 + ... + 2747.

2⁴³¹⁹⁷³ is an apocalyptic number.

It is an amenable number.

431973 is a deficient number, since it is larger than the sum of its proper divisors (213441).

431973 is an equidigital number, since it uses as much as digits as its factorization.

431973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5336 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 431973 is about 657.2465290894. The cubic root of 431973 is about 75.5936880596.

It can be divided in two parts, 43 and 1973, that added together give a triangular number (2016 = T₆₃).

The spelling of 431973 in words is "four hundred thirty-one thousand, nine hundred seventy-three".