86877 has 18 divisors (see below), whose sum is σ = 146718. Its totient is φ = 49392.

The previous prime is 86869. The next prime is 86923. The reversal of 86877 is 77868.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 86436 + 441 = 294^2 + 21^2 .

It is not a de Polignac number, because 86877 - 2³ = 86869 is a prime.

It is a super-2 number, since 2×86877² = 15095226258, which contains 22 as substring.

86877 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86877.

It is not an unprimeable number, because it can be changed into a prime (86837) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 343 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (8151).

2⁸⁶⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

86877 is a deficient number, since it is larger than the sum of its proper divisors (59841).

86877 is a wasteful number, since it uses less digits than its factorization.

86877 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 86877 is about 294.7490458000. The cubic root of 86877 is about 44.2895844197.

Subtracting from 86877 its reverse (77868), we obtain a palindrome (9009).

The spelling of 86877 in words is "eighty-six thousand, eight hundred seventy-seven".