52757 has 2 divisors, whose sum is σ = 52758. Its totient is φ = 52756.

The previous prime is 52747. The next prime is 52769. The reversal of 52757 is 75725.

52757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 1681 = 226^2 + 41^2 .

It is a cyclic number.

It is not a de Polignac number, because 52757 - 2⁸ = 52501 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26378 + 26379.

It is an arithmetic number, because the mean of its divisors is an integer number (26379).

2⁵²⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

52757 is a deficient number, since it is larger than the sum of its proper divisors (1).

52757 is an equidigital number, since it uses as much as digits as its factorization.

52757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2450, while the sum is 26.

The square root of 52757 is about 229.6889200636. The cubic root of 52757 is about 37.5053621962.

The spelling of 52757 in words is "fifty-two thousand, seven hundred fifty-seven".