85766 has 16 divisors (see below), whose sum is σ = 141360. Its totient is φ = 38880.

The previous prime is 85751. The next prime is 85781. The reversal of 85766 is 66758.

It is an interprime number because it is at equal distance from previous prime (85751) and next prime (85781).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1376 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (8835).

2⁸⁵⁷⁶⁶ is an apocalyptic number.

85766 is a deficient number, since it is larger than the sum of its proper divisors (55594).

85766 is a wasteful number, since it uses less digits than its factorization.

85766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119.

The product of its digits is 10080, while the sum is 32.

The square root of 85766 is about 292.8583275237. The cubic root of 85766 is about 44.0999792610.

The spelling of 85766 in words is "eighty-five thousand, seven hundred sixty-six".