85756 has 12 divisors (see below), whose sum is σ = 163800. Its totient is φ = 38960.

The previous prime is 85751. The next prime is 85781. The reversal of 85756 is 65758.

It is a congruent number.

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

85756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 931 + ... + 1018.

It is an arithmetic number, because the mean of its divisors is an integer number (13650).

2⁸⁵⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

85756 is a deficient number, since it is larger than the sum of its proper divisors (78044).

85756 is a wasteful number, since it uses less digits than its factorization.

85756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1962 counting only the distinct ones).

The product of its digits is 8400, while the sum is 31.

The square root of 85756 is about 292.8412539244. The cubic root of 85756 is about 44.0982652293.

It can be divided in two parts, 85 and 756, that added together give a square (841 = 29²).

The spelling of 85756 in words is "eighty-five thousand, seven hundred fifty-six".