50757 has 8 divisors (see below), whose sum is σ = 77376. Its totient is φ = 28992.

The previous prime is 50753. The next prime is 50767. The reversal of 50757 is 75705.

50757 is nontrivially palindromic in base 11.

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

It is not a de Polignac number, because 50757 - 2² = 50753 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

50757 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50753) 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, 1188 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (9672).

2⁵⁰⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

50757 is a deficient number, since it is larger than the sum of its proper divisors (26619).

50757 is a wasteful number, since it uses less digits than its factorization.

50757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427.

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

The square root of 50757 is about 225.2931423723. The cubic root of 50757 is about 37.0253053090.

The spelling of 50757 in words is "fifty thousand, seven hundred fifty-seven".