538331 has 2 divisors, whose sum is σ = 538332. Its totient is φ = 538330.

The previous prime is 538309. The next prime is 538333. The reversal of 538331 is 133835.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 538331 - 2⁶ = 538267 is a prime.

It is a super-2 number, since 2×538331² = 579600531122, which contains 22 as substring.

Together with 538333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 538297 and 538306.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 538331.

It is not a weakly prime, because it can be changed into another prime (538333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 269165 + 269166.

It is an arithmetic number, because the mean of its divisors is an integer number (269166).

2⁵³⁸³³¹ is an apocalyptic number.

538331 is a deficient number, since it is larger than the sum of its proper divisors (1).

538331 is an equidigital number, since it uses as much as digits as its factorization.

538331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 23.

The square root of 538331 is about 733.7104333455. The cubic root of 538331 is about 81.3485463048.

Subtracting from 538331 its reverse (133835), we obtain a square (404496 = 636²).

The spelling of 538331 in words is "five hundred thirty-eight thousand, three hundred thirty-one".