85743 has 12 divisors (see below), whose sum is σ = 141648. Its totient is φ = 48960.

The previous prime is 85733. The next prime is 85751. The reversal of 85743 is 34758.

It is not a de Polignac number, because 85743 - 2⁵ = 85711 is a prime.

It is a d-powerful number, because it can be written as 8³ + 5 + 7 + 4⁸ + 3⁹ .

It is a plaindrome in base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85703) 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, 618 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (11804).

2⁸⁵⁷⁴³ is an apocalyptic number.

85743 is a deficient number, since it is larger than the sum of its proper divisors (55905).

85743 is a wasteful number, since it uses less digits than its factorization.

85743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1371 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 85743 is about 292.8190567569. The cubic root of 85743 is about 44.0960367889.

It can be divided in two parts, 857 and 43, that added together give a square (900 = 30²).

The spelling of 85743 in words is "eighty-five thousand, seven hundred forty-three".