431 has 2 divisors, whose sum is σ = 432. Its totient is φ = 430.

The previous prime is 421. The next prime is 433. The reversal of 431 is 134.

Adding to 431 its reverse (134), we get a palindrome (565).

It can be divided in two parts, 43 and 1, that added together give a palindrome (44).

431 is nontrivially palindromic in base 13.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 431 - 2^{6} = 367 is a prime.

It is a super-2 number, since 2×431^{2} = 371522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 433, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

431 is an undulating number in base 13.

It is a plaindrome in base 4, base 6, base 12, base 14 and base 16.

It is a nialpdrome in base 5 and base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 431.

It is not a weakly prime, because it can be changed into another prime (433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215 + 216.

It is an arithmetic number, because the mean of its divisors is an integer number (216).

431 is a deficient number, since it is larger than the sum of its proper divisors (1).

431 is an equidigital number, since it uses as much as digits as its factorization.

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

The product of its digits is 12, while the sum is 8.

The square root of 431 is about 20.7605394920. The cubic root of 431 is about 7.5536888250.

The spelling of 431 in words is "four hundred thirty-one", and thus it is an aban number.

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