85767 has 16 divisors (see below), whose sum is σ = 131328. Its totient is φ = 49280.

The previous prime is 85751. The next prime is 85781. The reversal of 85767 is 76758.

It is not a de Polignac number, because 85767 - 2⁴ = 85751 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (8208).

2⁸⁵⁷⁶⁷ is an apocalyptic number.

85767 is a deficient number, since it is larger than the sum of its proper divisors (45561).

85767 is a wasteful number, since it uses less digits than its factorization.

85767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150.

The product of its digits is 11760, while the sum is 33.

The square root of 85767 is about 292.8600348289. The cubic root of 85767 is about 44.1001506569.

Subtracting from 85767 its reverse (76758), we obtain a palindrome (9009).

It can be divided in two parts, 8 and 5767, that added together give a palindrome (5775).

The spelling of 85767 in words is "eighty-five thousand, seven hundred sixty-seven".