57753 has 20 divisors (see below), whose sum is σ = 92928. Its totient is φ = 35640.

The previous prime is 57751. The next prime is 57773. The reversal of 57753 is 35775.

Added to its reverse (35775) it gives a triangular number (93528 = T₄₃₂).

57753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57753 - 2¹ = 57751 is a prime.

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

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (57751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1848 + ... + 1878.

2⁵⁷⁷⁵³ is an apocalyptic number.

It is an amenable number.

57753 is a deficient number, since it is larger than the sum of its proper divisors (35175).

57753 is a wasteful number, since it uses less digits than its factorization.

57753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 57 counting only the distinct ones).

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

The square root of 57753 is about 240.3185386107. The cubic root of 57753 is about 38.6537395682.

Adding to 57753 its reverse (35775), we get a triangular number (93528 = T₄₃₂).

It can be divided in two parts, 5775 and 3, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 57753 in words is "fifty-seven thousand, seven hundred fifty-three".