431313 has 8 divisors (see below), whose sum is σ = 580800. Its totient is φ = 284688.

The previous prime is 431311. The next prime is 431329. The reversal of 431313 is 313134.

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

It is not a de Polignac number, because 431313 - 2¹ = 431311 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 431292 and 431301.

It is not an unprimeable number, because it can be changed into a prime (431311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (72600).

2⁴³¹³¹³ is an apocalyptic number.

It is an amenable number.

431313 is a deficient number, since it is larger than the sum of its proper divisors (149487).

431313 is a wasteful number, since it uses less digits than its factorization.

431313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431.

The product of its digits is 108, while the sum is 15.

The square root of 431313 is about 656.7442424567. The cubic root of 431313 is about 75.5551692438. Note that the first 3 decimals are identical.

Adding to 431313 its reverse (313134), we get a palindrome (744447).

It can be divided in two parts, 43131 and 3, that added together give a palindrome (43134).

The spelling of 431313 in words is "four hundred thirty-one thousand, three hundred thirteen".