53757 has 16 divisors (see below), whose sum is σ = 87360. Its totient is φ = 32400.

The previous prime is 53731. The next prime is 53759. The reversal of 53757 is 75735.

It is not a de Polignac number, because 53757 - 2⁶ = 53693 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 53757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2⁵³⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

53757 is a deficient number, since it is larger than the sum of its proper divisors (33603).

53757 is a wasteful number, since it uses less digits than its factorization.

53757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its digits is 3675, while the sum is 27.

The square root of 53757 is about 231.8555584842. The cubic root of 53757 is about 37.7408497917.

53757 divided by its sum of digits (27) gives a palindrome (1991).

The spelling of 53757 in words is "fifty-three thousand, seven hundred fifty-seven".