57791 has 2 divisors, whose sum is σ = 57792. Its totient is φ = 57790.

The previous prime is 57787. The next prime is 57793. The reversal of 57791 is 19775.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 57791 - 2² = 57787 is a prime.

Together with 57793, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57793) 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, 28895 + 28896.

It is an arithmetic number, because the mean of its divisors is an integer number (28896).

2⁵⁷⁷⁹¹ is an apocalyptic number.

57791 is a deficient number, since it is larger than the sum of its proper divisors (1).

57791 is an equidigital number, since it uses as much as digits as its factorization.

57791 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2205, while the sum is 29.

The square root of 57791 is about 240.3975873423. The cubic root of 57791 is about 38.6622154342.

It can be divided in two parts, 57 and 791, that added together give a palindrome (848).

The spelling of 57791 in words is "fifty-seven thousand, seven hundred ninety-one".