89933 has 4 divisors (see below), whose sum is σ = 90720. Its totient is φ = 89148.

The previous prime is 89923. The next prime is 89939. The reversal of 89933 is 33998.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 89933 - 2⁴ = 89917 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 89933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89939) 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 3 ways as a sum of consecutive naturals, for example, 185 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁸⁹⁹³³ is an apocalyptic number.

It is an amenable number.

89933 is a deficient number, since it is larger than the sum of its proper divisors (787).

89933 is a wasteful number, since it uses less digits than its factorization.

89933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786.

The product of its digits is 5832, while the sum is 32.

The square root of 89933 is about 299.8883125432. Note that the first 3 decimals coincide. The cubic root of 89933 is about 44.8029241820.

The spelling of 89933 in words is "eighty-nine thousand, nine hundred thirty-three".