431967 has 8 divisors (see below), whose sum is σ = 581680. Its totient is φ = 285120.

The previous prime is 431947. The next prime is 431983. The reversal of 431967 is 769134.

It is a happy number.

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

It is not a de Polignac number, because 431967 - 2⁶ = 431903 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (72710).

2⁴³¹⁹⁶⁷ is an apocalyptic number.

431967 is a deficient number, since it is larger than the sum of its proper divisors (149713).

431967 is a wasteful number, since it uses less digits than its factorization.

431967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433.

The product of its digits is 4536, while the sum is 30.

The square root of 431967 is about 657.2419645762. The cubic root of 431967 is about 75.5933380653.

The spelling of 431967 in words is "four hundred thirty-one thousand, nine hundred sixty-seven".