813133 has 2 divisors, whose sum is σ = 813134. Its totient is φ = 813132.

The previous prime is 813121. The next prime is 813157. The reversal of 813133 is 331318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 702244 + 110889 = 838^2 + 333^2 .

It is a cyclic number.

It is not a de Polignac number, because 813133 - 2¹³ = 804941 is a prime.

It is a super-2 number, since 2×813133² = 1322370551378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 813133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406566 + 406567.

It is an arithmetic number, because the mean of its divisors is an integer number (406567).

2⁸¹³¹³³ is an apocalyptic number.

It is an amenable number.

813133 is a deficient number, since it is larger than the sum of its proper divisors (1).

813133 is an equidigital number, since it uses as much as digits as its factorization.

813133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 813133 is about 901.7388757284. The cubic root of 813133 is about 93.3370052410.

It can be divided in two parts, 813 and 133, that added together give a triangular number (946 = T₄₃).

The spelling of 813133 in words is "eight hundred thirteen thousand, one hundred thirty-three".