820733 has 2 divisors, whose sum is σ = 820734. Its totient is φ = 820732.

The previous prime is 820723. The next prime is 820747. The reversal of 820733 is 337028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 458329 + 362404 = 677^2 + 602^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820733 is a prime.

It is a Chen prime.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 820699 and 820708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410366 + 410367.

It is an arithmetic number, because the mean of its divisors is an integer number (410367).

2⁸²⁰⁷³³ is an apocalyptic number.

It is an amenable number.

820733 is a deficient number, since it is larger than the sum of its proper divisors (1).

820733 is an equidigital number, since it uses as much as digits as its factorization.

820733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 820733 is about 905.9431549496. The cubic root of 820733 is about 93.6268973883.

The spelling of 820733 in words is "eight hundred twenty thousand, seven hundred thirty-three".