5797 has 8 divisors (see below), whose sum is σ = 6912. Its totient is φ = 4800.

The previous prime is 5791. The next prime is 5801. The reversal of 5797 is 7975.

5797 is nontrivially palindromic in base 4.

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

It is a cyclic number.

It is not a de Polignac number, because 5797 - 2⁷ = 5669 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5791) 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, 172 + ... + 202.

It is an arithmetic number, because the mean of its divisors is an integer number (864).

2⁵⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

5797 is a deficient number, since it is larger than the sum of its proper divisors (1115).

5797 is a wasteful number, since it uses less digits than its factorization.

5797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59.

The product of its digits is 2205, while the sum is 28.

The square root of 5797 is about 76.1380325462. The cubic root of 5797 is about 17.9639194955.

The spelling of 5797 in words is "five thousand, seven hundred ninety-seven".