431641 has 12 divisors (see below), whose sum is σ = 525312. Its totient is φ = 352968.

The previous prime is 431621. The next prime is 431657. The reversal of 431641 is 146134.

It is a happy number.

It is not a de Polignac number, because 431641 - 2⁷ = 431513 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 (431611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 936 + ... + 1318.

It is an arithmetic number, because the mean of its divisors is an integer number (43776).

2⁴³¹⁶⁴¹ is an apocalyptic number.

It is an amenable number.

431641 is a deficient number, since it is larger than the sum of its proper divisors (93671).

431641 is a wasteful number, since it uses less digits than its factorization.

431641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 431641 is about 656.9939116917. The cubic root of 431641 is about 75.5743168359.

Adding to 431641 its reverse (146134), we get a palindrome (577775).

The spelling of 431641 in words is "four hundred thirty-one thousand, six hundred forty-one".