88509 has 8 divisors (see below), whose sum is σ = 119392. Its totient is φ = 58320.

The previous prime is 88499. The next prime is 88513. The reversal of 88509 is 90588.

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

It is not a de Polignac number, because 88509 - 2⁴ = 88493 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

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 88509.

It is not an unprimeable number, because it can be changed into a prime (88589) by changing a digit.

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, 399 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (14924).

2⁸⁸⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

88509 is a deficient number, since it is larger than the sum of its proper divisors (30883).

88509 is a wasteful number, since it uses less digits than its factorization.

88509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 88509 is about 297.5046218128. The cubic root of 88509 is about 44.5651950168.

The spelling of 88509 in words is "eighty-eight thousand, five hundred nine".