57993 has 8 divisors (see below), whose sum is σ = 83328. Its totient is φ = 35664.

The previous prime is 57991. The next prime is 58013. The reversal of 57993 is 39975.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 57993 - 2¹ = 57991 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57991) 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 in 7 ways as a sum of consecutive naturals, for example, 705 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2⁵⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

57993 is a deficient number, since it is larger than the sum of its proper divisors (25335).

57993 is a wasteful number, since it uses less digits than its factorization.

57993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503.

The product of its digits is 8505, while the sum is 33.

The square root of 57993 is about 240.8173581784. The cubic root of 57993 is about 38.7072090944.

The spelling of 57993 in words is "fifty-seven thousand, nine hundred ninety-three".