823135273 has 2 divisors, whose sum is σ = 823135274. Its totient is φ = 823135272.

The previous prime is 823135237. The next prime is 823135289. The reversal of 823135273 is 372531328.

Together with previous prime (823135237) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 788654889 + 34480384 = 28083^2 + 5872^2 .

It is a cyclic number.

It is not a de Polignac number, because 823135273 - 2⁹ = 823134761 is a prime.

It is equal to p_42274186 and since 823135273 and 42274186 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (823135213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411567636 + 411567637.

It is an arithmetic number, because the mean of its divisors is an integer number (411567637).

Almost surely, 2^823135273 is an apocalyptic number.

It is an amenable number.

823135273 is a deficient number, since it is larger than the sum of its proper divisors (1).

823135273 is an equidigital number, since it uses as much as digits as its factorization.

823135273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 34.

The square root of 823135273 is about 28690.3341388698. The cubic root of 823135273 is about 937.1815657600.

The spelling of 823135273 in words is "eight hundred twenty-three million, one hundred thirty-five thousand, two hundred seventy-three".