5757 has 8 divisors (see below), whose sum is σ = 8160. Its totient is φ = 3600.

The previous prime is 5749. The next prime is 5779. The reversal of 5757 is 7575.

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

It is not a de Polignac number, because 5757 - 2³ = 5749 is a prime.

5757 is an undulating number in base 10.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 107.

It is an arithmetic number, because the mean of its divisors is an integer number (1020).

5757 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

5757 is a deficient number, since it is larger than the sum of its proper divisors (2403).

5757 is a wasteful number, since it uses less digits than its factorization.

5757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123.

The product of its digits is 1225, while the sum is 24.

The square root of 5757 is about 75.8748970345. The cubic root of 5757 is about 17.9225063591.

The spelling of 5757 in words is "five thousand, seven hundred fifty-seven".