803813 has 2 divisors, whose sum is σ = 803814. Its totient is φ = 803812.

The previous prime is 803749. The next prime is 803819. The reversal of 803813 is 318308.

803813 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., 669124 + 134689 = 818^2 + 367^2 .

It is a cyclic number.

It is not a de Polignac number, because 803813 - 2⁶ = 803749 is a prime.

It is a super-2 number, since 2×803813² = 1292230677938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (803819) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 401906 + 401907.

It is an arithmetic number, because the mean of its divisors is an integer number (401907).

2⁸⁰³⁸¹³ is an apocalyptic number.

It is an amenable number.

803813 is a deficient number, since it is larger than the sum of its proper divisors (1).

803813 is an equidigital number, since it uses as much as digits as its factorization.

803813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 803813 is about 896.5561889809. The cubic root of 803813 is about 92.9790294568.

The spelling of 803813 in words is "eight hundred three thousand, eight hundred thirteen".