87677 has 4 divisors (see below), whose sum is σ = 89760. Its totient is φ = 85596.

The previous prime is 87671. The next prime is 87679. The reversal of 87677 is 77678.

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 an emirpimes, since its reverse is a distinct semiprime: 77678 = 2 ⋅38839.

It is a cyclic number.

It is not a de Polignac number, because 87677 - 2⁶ = 87613 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

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 87677.

It is not an unprimeable number, because it can be changed into a prime (87671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 977 + ... + 1062.

It is an arithmetic number, because the mean of its divisors is an integer number (22440).

2⁸⁷⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

87677 is a deficient number, since it is larger than the sum of its proper divisors (2083).

87677 is a wasteful number, since it uses less digits than its factorization.

87677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082.

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

The square root of 87677 is about 296.1030226121. The cubic root of 87677 is about 44.4251149742.

Subtracting from 87677 its reverse (77678), we obtain a palindrome (9999).

It can be divided in two parts, 8 and 7677, that multiplied together give a palindrome (61416).

The spelling of 87677 in words is "eighty-seven thousand, six hundred seventy-seven".