57973 has 2 divisors, whose sum is σ = 57974. Its totient is φ = 57972.

The previous prime is 57947. The next prime is 57977. The reversal of 57973 is 37975.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 18769 = 198^2 + 137^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57973 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28986 + 28987.

It is an arithmetic number, because the mean of its divisors is an integer number (28987).

2⁵⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

57973 is a deficient number, since it is larger than the sum of its proper divisors (1).

57973 is an equidigital number, since it uses as much as digits as its factorization.

57973 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 57973 is about 240.7758293517. The cubic root of 57973 is about 38.7027589413.

It can be divided in two parts, 5797 and 3, that multiplied together give a triangular number (17391 = T₁₈₆).

The spelling of 57973 in words is "fifty-seven thousand, nine hundred seventy-three".