85757 has 4 divisors (see below), whose sum is σ = 98016. Its totient is φ = 73500.

The previous prime is 85751. The next prime is 85781. The reversal of 85757 is 75758.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 75758 = 2 ⋅37879.

It is a de Polignac number, because none of the positive numbers 2^k-85757 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6119 + ... + 6132.

It is an arithmetic number, because the mean of its divisors is an integer number (24504).

2⁸⁵⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

85757 is a deficient number, since it is larger than the sum of its proper divisors (12259).

85757 is a wasteful number, since it uses less digits than its factorization.

85757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12258.

The product of its digits is 9800, while the sum is 32.

The square root of 85757 is about 292.8429613291. The cubic root of 85757 is about 44.0984366385.

Subtracting from 85757 its product of digits (9800), we obtain a palindrome (75957).

Subtracting from 85757 its reverse (75758), we obtain a palindrome (9999).

It can be divided in two parts, 8575 and 7, that multiplied together give a square (60025 = 245²).

The spelling of 85757 in words is "eighty-five thousand, seven hundred fifty-seven".