431431 has 16 divisors (see below), whose sum is σ = 580608. Its totient is φ = 309600.

The previous prime is 431429. The next prime is 431441. The reversal of 431431 is 134134.

431431 = T₆₅ + T₆₆ + ... + T₁₄₁.

431431 = 169² + 170² + ... + 182².

It is a cyclic number.

It is not a de Polignac number, because 431431 - 2¹ = 431429 is a prime.

It is a super-2 number, since 2×431431² = 372265415522, which contains 22 as substring.

431431 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786 + ... + 1216.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

2⁴³¹⁴³¹ is an apocalyptic number.

431431 is a deficient number, since it is larger than the sum of its proper divisors (149177).

431431 is a wasteful number, since it uses less digits than its factorization.

431431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462.

The product of its digits is 144, while the sum is 16.

The square root of 431431 is about 656.8340734158. The cubic root of 431431 is about 75.5620588244.

Adding to 431431 its reverse (134134), we get a palindrome (565565).

The spelling of 431431 in words is "four hundred thirty-one thousand, four hundred thirty-one".