431971 has 4 divisors (see below), whose sum is σ = 433944. Its totient is φ = 430000.

The previous prime is 431947. The next prime is 431983. The reversal of 431971 is 179134.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 179134 = 2 ⋅89567.

It is a cyclic number.

It is not a de Polignac number, because 431971 - 2¹³ = 423779 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431911) 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 3 ways as a sum of consecutive naturals, for example, 610 + ... + 1111.

It is an arithmetic number, because the mean of its divisors is an integer number (108486).

2⁴³¹⁹⁷¹ is an apocalyptic number.

431971 is a deficient number, since it is larger than the sum of its proper divisors (1973).

431971 is a wasteful number, since it uses less digits than its factorization.

431971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972.

The product of its digits is 756, while the sum is 25.

The square root of 431971 is about 657.2450075885. The cubic root of 431971 is about 75.5935713952.

The spelling of 431971 in words is "four hundred thirty-one thousand, nine hundred seventy-one".