813033 has 12 divisors (see below), whose sum is σ = 1264900. Its totient is φ = 500256.

The previous prime is 813023. The next prime is 813041. The reversal of 813033 is 330318.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 393129 = 648^2 + 627^2 .

It is not a de Polignac number, because 813033 - 2⁴ = 813017 is a prime.

It is a super-2 number, since 2×813033² = 1322045318178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 812997 and 813015.

It is not an unprimeable number, because it can be changed into a prime (813013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3358 + ... + 3591.

2⁸¹³⁰³³ is an apocalyptic number.

It is an amenable number.

813033 is a deficient number, since it is larger than the sum of its proper divisors (451867).

813033 is a wasteful number, since it uses less digits than its factorization.

813033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6968 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 813033 is about 901.6834255990. The cubic root of 813033 is about 93.3331788546. Note that the first 3 decimals are identical.

It can be divided in two parts, 8 and 13033, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 813033 in words is "eight hundred thirteen thousand, thirty-three".