57793 has 2 divisors, whose sum is σ = 57794. Its totient is φ = 57792.

The previous prime is 57791. The next prime is 57803. The reversal of 57793 is 39775.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 3969 = 232^2 + 63^2 .

It is a cyclic number.

It is not a de Polignac number, because 57793 - 2¹ = 57791 is a prime.

Together with 57791, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (57791) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28896 + 28897.

It is an arithmetic number, because the mean of its divisors is an integer number (28897).

2⁵⁷⁷⁹³ is an apocalyptic number.

57793 is the 129-th centered heptagonal number.

It is an amenable number.

57793 is a deficient number, since it is larger than the sum of its proper divisors (1).

57793 is an equidigital number, since it uses as much as digits as its factorization.

57793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6615, while the sum is 31.

The square root of 57793 is about 240.4017470818. The cubic root of 57793 is about 38.6626614295.

The spelling of 57793 in words is "fifty-seven thousand, seven hundred ninety-three".