86777 has 4 divisors (see below), whose sum is σ = 87696. Its totient is φ = 85860.

The previous prime is 86771. The next prime is 86783. The reversal of 86777 is 77768.

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 a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (86771) and next prime (86783).

It is a cyclic number.

It is not a de Polignac number, because 86777 - 2¹⁴ = 70393 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86777.

It is not an unprimeable number, because it can be changed into a prime (86771) 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, 299 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (21924).

2⁸⁶⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

86777 is a deficient number, since it is larger than the sum of its proper divisors (919).

86777 is a wasteful number, since it uses less digits than its factorization.

86777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918.

The product of its digits is 16464, while the sum is 35.

The square root of 86777 is about 294.5793611236. The cubic root of 86777 is about 44.2725846812.

Subtracting from 86777 its reverse (77768), we obtain a palindrome (9009).

The spelling of 86777 in words is "eighty-six thousand, seven hundred seventy-seven".