88385 has 8 divisors (see below), whose sum is σ = 115776. Its totient is φ = 64240.

The previous prime is 88379. The next prime is 88397. The reversal of 88385 is 58388.

It is a happy number.

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

It is not a de Polignac number, because 88385 - 2⁶ = 88321 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88385.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749 + ... + 858.

It is an arithmetic number, because the mean of its divisors is an integer number (14472).

2⁸⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

88385 is a deficient number, since it is larger than the sum of its proper divisors (27391).

88385 is a wasteful number, since it uses less digits than its factorization.

88385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623.

The product of its digits is 7680, while the sum is 32.

The square root of 88385 is about 297.2961486464. The cubic root of 88385 is about 44.5443735302.

The spelling of 88385 in words is "eighty-eight thousand, three hundred eighty-five".