88065 has 24 divisors (see below), whose sum is σ = 162240. Its totient is φ = 44064.

The previous prime is 88037. The next prime is 88069. The reversal of 88065 is 56088.

88065 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 88065 - 2⁶ = 88001 is a prime.

88065 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88065.

It is not an unprimeable number, because it can be changed into a prime (88069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804 + ... + 906.

It is an arithmetic number, because the mean of its divisors is an integer number (6760).

It is a Proth number, since it is equal to 43 ⋅ 2¹¹ + 1 and 43 < 2¹¹.

2⁸⁸⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

88065 is a deficient number, since it is larger than the sum of its proper divisors (74175).

88065 is a wasteful number, since it uses less digits than its factorization.

88065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 88065 is about 296.7574767382. The cubic root of 88065 is about 44.4905505332.

The spelling of 88065 in words is "eighty-eight thousand, sixty-five".