• 57735² = 3333330225 is the smallest square that contains exactly six digits '3'.

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57735 has 12 divisors (see below), whose sum is σ = 100152. Its totient is φ = 30768.

The previous prime is 57731. The next prime is 57737. The reversal of 57735 is 53775.

57735 is nontrivially palindromic in base 2.

57735 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57735 - 2² = 57731 is a prime.

It is a super-4 number, since 4×57735⁴ = 44444361555594202500, which contains 4444 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 57699 and 57708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 597 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (8346).

2⁵⁷⁷³⁵ is an apocalyptic number.

57735 is a deficient number, since it is larger than the sum of its proper divisors (42417).

57735 is a wasteful number, since it uses less digits than its factorization.

57735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1291 counting only the distinct ones).

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

The square root of 57735 is about 240.2810853979. The cubic root of 57735 is about 38.6497233866.

It can be divided in two parts, 5773 and 5, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 57735 in words is "fifty-seven thousand, seven hundred thirty-five".