87705 has 12 divisors (see below), whose sum is σ = 152100. Its totient is φ = 46752.

The previous prime is 87701. The next prime is 87719. The reversal of 87705 is 50778.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 35721 = 228^2 + 189^2 .

It is not a de Polignac number, because 87705 - 2² = 87701 is a prime.

It is a Curzon number.

87705 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (87701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (12675).

2⁸⁷⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

87705 is a deficient number, since it is larger than the sum of its proper divisors (64395).

87705 is a wasteful number, since it uses less digits than its factorization.

87705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 87705 is about 296.1502996791. The cubic root of 87705 is about 44.4298435835.

Subtracting from 87705 its sum of digits (27), we obtain a palindrome (87678).

The spelling of 87705 in words is "eighty-seven thousand, seven hundred five".