87765 has 8 divisors (see below), whose sum is σ = 140448. Its totient is φ = 46800.

The previous prime is 87751. The next prime is 87767. The reversal of 87765 is 56778.

87765 is nontrivially palindromic in base 2.

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

It is not a de Polignac number, because 87765 - 2⁶ = 87701 is a prime.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87765.

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, 2911 + ... + 2940.

It is an arithmetic number, because the mean of its divisors is an integer number (17556).

2⁸⁷⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

87765 is a deficient number, since it is larger than the sum of its proper divisors (52683).

87765 is a wasteful number, since it uses less digits than its factorization.

87765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5859.

The product of its digits is 11760, while the sum is 33.

The square root of 87765 is about 296.2515822743. The cubic root of 87765 is about 44.4399729298.

The spelling of 87765 in words is "eighty-seven thousand, seven hundred sixty-five".