88765 has 8 divisors (see below), whose sum is σ = 109368. Its totient is φ = 69120.

The previous prime is 88747. The next prime is 88771. The reversal of 88765 is 56788.

88765 = 25² + 26² + ... + 65².

It can be written as a sum of positive squares in 4 ways, for example, as 2916 + 85849 = 54^2 + 293^2 .

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

It is not a de Polignac number, because 88765 - 2¹⁵ = 55997 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9 and base 16.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 88765.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2⁸⁸⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

88765 is a deficient number, since it is larger than the sum of its proper divisors (20603).

88765 is a wasteful number, since it uses less digits than its factorization.

88765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479.

The product of its digits is 13440, while the sum is 34.

The square root of 88765 is about 297.9345565724. The cubic root of 88765 is about 44.6081198727.

The spelling of 88765 in words is "eighty-eight thousand, seven hundred sixty-five".