431361 has 24 divisors (see below), whose sum is σ = 733824. Its totient is φ = 239040.

The previous prime is 431339. The next prime is 431363. The reversal of 431361 is 163134.

It is not a de Polignac number, because 431361 - 2⁵ = 431329 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431361.

It is not an unprimeable number, because it can be changed into a prime (431363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2500 + ... + 2666.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2⁴³¹³⁶¹ is an apocalyptic number.

431361 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

431361 is a deficient number, since it is larger than the sum of its proper divisors (302463).

431361 is a wasteful number, since it uses less digits than its factorization.

431361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 431361 is about 656.7807853462. The cubic root of 431361 is about 75.5579719367.

Adding to 431361 its reverse (163134), we get a palindrome (594495).

The spelling of 431361 in words is "four hundred thirty-one thousand, three hundred sixty-one".