87805 has 8 divisors (see below), whose sum is σ = 111672. Its totient is φ = 66048.

The previous prime is 87803. The next prime is 87811. The reversal of 87805 is 50878.

It can be written as a sum of positive squares in 4 ways, for example, as 42436 + 45369 = 206^2 + 213^2 .

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 87805 - 2¹ = 87803 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87803) 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, 432 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (13959).

2⁸⁷⁸⁰⁵ is an apocalyptic number.

87805 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87805 is a deficient number, since it is larger than the sum of its proper divisors (23867).

87805 is a wasteful number, since it uses less digits than its factorization.

87805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055.

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 87805 is about 296.3190847718. The cubic root of 87805 is about 44.4467232628.

The spelling of 87805 in words is "eighty-seven thousand, eight hundred five".