431253 has 6 divisors (see below), whose sum is σ = 622934. Its totient is φ = 287496.

The previous prime is 431251. The next prime is 431257. The reversal of 431253 is 352134.

431253 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in only one way, i.e., 288369 + 142884 = 537^2 + 378^2 .

It is not a de Polignac number, because 431253 - 2¹ = 431251 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 (431251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23950 + ... + 23967.

2⁴³¹²⁵³ is an apocalyptic number.

It is an amenable number.

431253 is a deficient number, since it is larger than the sum of its proper divisors (191681).

431253 is a wasteful number, since it uses less digits than its factorization.

431253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47923 (or 47920 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 431253 is about 656.6985609852. The cubic root of 431253 is about 75.5516655853.

Adding to 431253 its reverse (352134), we get a palindrome (783387).

It can be divided in two parts, 43 and 1253, that added together give a 4-th power (1296 = 6⁴).

The spelling of 431253 in words is "four hundred thirty-one thousand, two hundred fifty-three".