431713 has 4 divisors (see below), whose sum is σ = 433300. Its totient is φ = 430128.

The previous prime is 431707. The next prime is 431729. The reversal of 431713 is 317134.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 317134 = 2 ⋅158567.

It can be written as a sum of positive squares in 2 ways, for example, as 321489 + 110224 = 567^2 + 332^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-431713 is a prime.

It is a super-2 number, since 2×431713² = 372752228738, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270 + ... + 967.

It is an arithmetic number, because the mean of its divisors is an integer number (108325).

2⁴³¹⁷¹³ is an apocalyptic number.

It is an amenable number.

431713 is a deficient number, since it is larger than the sum of its proper divisors (1587).

431713 is a wasteful number, since it uses less digits than its factorization.

431713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586.

The product of its digits is 252, while the sum is 19.

The square root of 431713 is about 657.0487044352. The cubic root of 431713 is about 75.5785186674.

Adding to 431713 its reverse (317134), we get a palindrome (748847).

The spelling of 431713 in words is "four hundred thirty-one thousand, seven hundred thirteen".