431613 has 48 divisors (see below), whose sum is σ = 838656. Its totient is φ = 207360.

The previous prime is 431611. The next prime is 431617. The reversal of 431613 is 316134.

It is not a de Polignac number, because 431613 - 2¹ = 431611 is a prime.

431613 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431611) 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 47 ways as a sum of consecutive naturals, for example, 13908 + ... + 13938.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2⁴³¹⁶¹³ is an apocalyptic number.

It is an amenable number.

431613 is a deficient number, since it is larger than the sum of its proper divisors (407043).

431613 is a wasteful number, since it uses less digits than its factorization.

431613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 71 counting only the distinct ones).

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

The square root of 431613 is about 656.9726021685. The cubic root of 431613 is about 75.5726826641.

Adding to 431613 its reverse (316134), we get a palindrome (747747).

The spelling of 431613 in words is "four hundred thirty-one thousand, six hundred thirteen".