87771 has 8 divisors (see below), whose sum is σ = 123984. Its totient is φ = 55040.

The previous prime is 87767. The next prime is 87793. The reversal of 87771 is 17778.

87771 = T₉₃ + T₉₄ + ... + T₁₀₉.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 87771 - 2² = 87767 is a prime.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (87701) 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 7 ways as a sum of consecutive naturals, for example, 810 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (15498).

2⁸⁷⁷⁷¹ is an apocalyptic number.

87771 is a deficient number, since it is larger than the sum of its proper divisors (36213).

87771 is a wasteful number, since it uses less digits than its factorization.

87771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741.

The product of its digits is 2744, while the sum is 30.

The square root of 87771 is about 296.2617086294. The cubic root of 87771 is about 44.4409856105.

It can be divided in two parts, 8777 and 1, that added together give a palindrome (8778).

The spelling of 87771 in words is "eighty-seven thousand, seven hundred seventy-one".