89833 has 2 divisors, whose sum is σ = 89834. Its totient is φ = 89832.

The previous prime is 89821. The next prime is 89839. The reversal of 89833 is 33898.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 6889 = 288^2 + 83^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-89833 is a prime.

It is equal to p₈₆₉₈ and since 89833 and 8698 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 89795 and 89804.

It is not a weakly prime, because it can be changed into another prime (89839) 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 as a sum of consecutive naturals, namely, 44916 + 44917.

It is an arithmetic number, because the mean of its divisors is an integer number (44917).

2⁸⁹⁸³³ is an apocalyptic number.

It is an amenable number.

89833 is a deficient number, since it is larger than the sum of its proper divisors (1).

89833 is an equidigital number, since it uses as much as digits as its factorization.

89833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 31.

The square root of 89833 is about 299.7215374310. The cubic root of 89833 is about 44.7863119853.

The spelling of 89833 in words is "eighty-nine thousand, eight hundred thirty-three".