830833 has 2 divisors, whose sum is σ = 830834. Its totient is φ = 830832.

The previous prime is 830827. The next prime is 830839. The reversal of 830833 is 338038.

It is a balanced prime because it is at equal distance from previous prime (830827) and next prime (830839).

It can be written as a sum of positive squares in only one way, i.e., 552049 + 278784 = 743^2 + 528^2 .

It is a cyclic number.

It is not a de Polignac number, because 830833 - 2⁵ = 830801 is a prime.

It is the 912-nd Hogben number.

830833 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 830798 and 830807.

It is not a weakly prime, because it can be changed into another prime (830839) by changing a digit.

It is a nontrivial repunit in base 911.

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, 415416 + 415417.

It is an arithmetic number, because the mean of its divisors is an integer number (415417).

2⁸³⁰⁸³³ is an apocalyptic number.

It is an amenable number.

830833 is a deficient number, since it is larger than the sum of its proper divisors (1).

830833 is an equidigital number, since it uses as much as digits as its factorization.

830833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 830833 is about 911.5004114097. The cubic root of 830833 is about 94.0093924522.

The spelling of 830833 in words is "eight hundred thirty thousand, eight hundred thirty-three".