85777 has 4 divisors (see below), whose sum is σ = 88576. Its totient is φ = 82980.

The previous prime is 85751. The next prime is 85781. The reversal of 85777 is 77758.

It is a happy number.

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.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85777 is a prime.

It is a Duffinian number.

85777 is a lucky number.

It is a plaindrome in base 14.

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 3 ways as a sum of consecutive naturals, for example, 1353 + ... + 1414.

It is an arithmetic number, because the mean of its divisors is an integer number (22144).

2⁸⁵⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

85777 is a deficient number, since it is larger than the sum of its proper divisors (2799).

85777 is a wasteful number, since it uses less digits than its factorization.

85777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798.

The product of its digits is 13720, while the sum is 34.

The square root of 85777 is about 292.8771073334. The cubic root of 85777 is about 44.1018645420.

The spelling of 85777 in words is "eighty-five thousand, seven hundred seventy-seven".