90833 has 2 divisors, whose sum is σ = 90834. Its totient is φ = 90832.

The previous prime is 90823. The next prime is 90841. The reversal of 90833 is 33809.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82369 + 8464 = 287^2 + 92^2 .

It is an emirp because it is prime and its reverse (33809) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90833 - 2¹⁰ = 89809 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90799 and 90808.

It is not a weakly prime, because it can be changed into another prime (90803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45416 + 45417.

It is an arithmetic number, because the mean of its divisors is an integer number (45417).

2⁹⁰⁸³³ is an apocalyptic number.

It is an amenable number.

90833 is a deficient number, since it is larger than the sum of its proper divisors (1).

90833 is an equidigital number, since it uses as much as digits as its factorization.

90833 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 90833 is about 301.3851356653. The cubic root of 90833 is about 44.9518827242.

The spelling of 90833 in words is "ninety thousand, eight hundred thirty-three".