88505 has 8 divisors (see below), whose sum is σ = 109824. Its totient is φ = 68400.

The previous prime is 88499. The next prime is 88513. The reversal of 88505 is 50588.

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

It is not a de Polignac number, because 88505 - 2¹⁰ = 87481 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (13728).

2⁸⁸⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

88505 is a deficient number, since it is larger than the sum of its proper divisors (21319).

88505 is a wasteful number, since it uses less digits than its factorization.

88505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 88505 is about 297.4978991522. The cubic root of 88505 is about 44.5645236595.

The spelling of 88505 in words is "eighty-eight thousand, five hundred five".