827833 has 2 divisors, whose sum is σ = 827834. Its totient is φ = 827832.

The previous prime is 827821. The next prime is 827837. The reversal of 827833 is 338728.

827833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 822649 + 5184 = 907^2 + 72^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-827833 is a prime.

827833 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 827795 and 827804.

It is not a weakly prime, because it can be changed into another prime (827837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413916 + 413917.

It is an arithmetic number, because the mean of its divisors is an integer number (413917).

2⁸²⁷⁸³³ is an apocalyptic number.

It is an amenable number.

827833 is a deficient number, since it is larger than the sum of its proper divisors (1).

827833 is an equidigital number, since it uses as much as digits as its factorization.

827833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 31.

The square root of 827833 is about 909.8532848762. The cubic root of 827833 is about 93.8961052202.

The spelling of 827833 in words is "eight hundred twenty-seven thousand, eight hundred thirty-three".