431961 has 8 divisors (see below), whose sum is σ = 580704. Its totient is φ = 285600.

The previous prime is 431947. The next prime is 431983. The reversal of 431961 is 169134.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 431961 - 2⁵ = 431929 is a prime.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 115 + ... + 936.

It is an arithmetic number, because the mean of its divisors is an integer number (72588).

2⁴³¹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

431961 is a deficient number, since it is larger than the sum of its proper divisors (148743).

431961 is a wasteful number, since it uses less digits than its factorization.

431961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191.

The product of its digits is 648, while the sum is 24.

The square root of 431961 is about 657.2374000314. The cubic root of 431961 is about 75.5929880678.

Adding to 431961 its sum of digits (24), we get a triangular number (431985 = T₉₂₉).

The spelling of 431961 in words is "four hundred thirty-one thousand, nine hundred sixty-one".