88305 has 24 divisors (see below), whose sum is σ = 167232. Its totient is φ = 38976.

The previous prime is 88301. The next prime is 88321. The reversal of 88305 is 50388.

It is not a de Polignac number, because 88305 - 2² = 88301 is a prime.

It is a Curzon number.

88305 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (88301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3031 + ... + 3059.

It is an arithmetic number, because the mean of its divisors is an integer number (6968).

2⁸⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

88305 is a deficient number, since it is larger than the sum of its proper divisors (78927).

88305 is a wasteful number, since it uses less digits than its factorization.

88305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 88305 is about 297.1615722128. The cubic root of 88305 is about 44.5309299762.

It can be divided in two parts, 88 and 305, that added together give a palindrome (393).

The spelling of 88305 in words is "eighty-eight thousand, three hundred five".