87877 has 2 divisors, whose sum is σ = 87878. Its totient is φ = 87876.

The previous prime is 87869. The next prime is 87881. The reversal of 87877 is 77878.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83521 + 4356 = 289^2 + 66^2 .

It is a cyclic number.

It is not a de Polignac number, because 87877 - 2³ = 87869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87887) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43938 + 43939.

It is an arithmetic number, because the mean of its divisors is an integer number (43939).

2⁸⁷⁸⁷⁷ is an apocalyptic number.

It is an amenable number.

87877 is a deficient number, since it is larger than the sum of its proper divisors (1).

87877 is an equidigital number, since it uses as much as digits as its factorization.

87877 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21952, while the sum is 37.

The square root of 87877 is about 296.4405505325. The cubic root of 87877 is about 44.4588686978.

Subtracting from 87877 its reverse (77878), we obtain a palindrome (9999).

The spelling of 87877 in words is "eighty-seven thousand, eight hundred seventy-seven".