88893 has 24 divisors (see below), whose sum is σ = 157248. Its totient is φ = 47232.

The previous prime is 88883. The next prime is 88897. The reversal of 88893 is 39888.

It is not a de Polignac number, because 88893 - 2⁵ = 88861 is a prime.

It is a Curzon number.

88893 is a lucky number.

It is a plaindrome in base 14.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88897) 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 23 ways as a sum of consecutive naturals, for example, 1030 + ... + 1112.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2⁸⁸⁸⁹³ is an apocalyptic number.

88893 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

88893 is a deficient number, since it is larger than the sum of its proper divisors (68355).

88893 is a wasteful number, since it uses less digits than its factorization.

88893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 88893 is about 298.1492914632. The cubic root of 88893 is about 44.6295513565.

The spelling of 88893 in words is "eighty-eight thousand, eight hundred ninety-three".