812033 has 2 divisors, whose sum is σ = 812034. Its totient is φ = 812032.

The previous prime is 812011. The next prime is 812047. The reversal of 812033 is 330218.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 628849 + 183184 = 793^2 + 428^2 .

It is a cyclic number.

It is not a de Polignac number, because 812033 - 2⁸ = 811777 is a prime.

It is not a weakly prime, because it can be changed into another prime (812233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406016 + 406017.

It is an arithmetic number, because the mean of its divisors is an integer number (406017).

It is a Proth number, since it is equal to 793 ⋅ 2¹⁰ + 1 and 793 < 2¹⁰.

2⁸¹²⁰³³ is an apocalyptic number.

It is an amenable number.

812033 is a deficient number, since it is larger than the sum of its proper divisors (1).

812033 is an equidigital number, since it uses as much as digits as its factorization.

812033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 812033 is about 901.1287366409. The cubic root of 812033 is about 93.2948977228.

The spelling of 812033 in words is "eight hundred twelve thousand, thirty-three".