806733 has 8 divisors (see below), whose sum is σ = 1195200. Its totient is φ = 537804.

The previous prime is 806719. The next prime is 806737. The reversal of 806733 is 337608.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-806733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 29879 = 806733 / (8 + 0 + 6 + 7 + 3 + 3).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 806697 and 806706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14913 + ... + 14966.

It is an arithmetic number, because the mean of its divisors is an integer number (149400).

2⁸⁰⁶⁷³³ is an apocalyptic number.

It is an amenable number.

806733 is a deficient number, since it is larger than the sum of its proper divisors (388467).

806733 is a wasteful number, since it uses less digits than its factorization.

806733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29888 (or 29882 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 806733 is about 898.1831661749. The cubic root of 806733 is about 93.0914812631.

It can be divided in two parts, 8067 and 33, that added together give a square (8100 = 90²).

The spelling of 806733 in words is "eight hundred six thousand, seven hundred thirty-three".