87785 has 8 divisors (see below), whose sum is σ = 107016. Its totient is φ = 69120.

The previous prime is 87767. The next prime is 87793. The reversal of 87785 is 58778.

It can be written as a sum of positive squares in 4 ways, for example, as 169 + 87616 = 13^2 + 296^2 .

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

It is not a de Polignac number, because 87785 - 2⁶ = 87721 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (13377).

2⁸⁷⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

87785 is a deficient number, since it is larger than the sum of its proper divisors (19231).

87785 is a wasteful number, since it uses less digits than its factorization.

87785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283.

The product of its digits is 15680, while the sum is 35.

The square root of 87785 is about 296.2853354454. The cubic root of 87785 is about 44.4433483526.

The spelling of 87785 in words is "eighty-seven thousand, seven hundred eighty-five".