87761 has 8 divisors (see below), whose sum is σ = 96000. Its totient is φ = 79920.

The previous prime is 87751. The next prime is 87767. The reversal of 87761 is 16778.

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 87761 - 2⁶ = 87697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (87767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 515 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (12000).

2⁸⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

87761 is a deficient number, since it is larger than the sum of its proper divisors (8239).

87761 is a wasteful number, since it uses less digits than its factorization.

87761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199.

The product of its digits is 2352, while the sum is 29.

The square root of 87761 is about 296.2448311785. The cubic root of 87761 is about 44.4392977837.

It can be divided in two parts, 87 and 761, that added together give a palindrome (848).

The spelling of 87761 in words is "eighty-seven thousand, seven hundred sixty-one".