820753 has 2 divisors, whose sum is σ = 820754. Its totient is φ = 820752.

The previous prime is 820747. The next prime is 820759. The reversal of 820753 is 357028.

It is a balanced prime because it is at equal distance from previous prime (820747) and next prime (820759).

It can be written as a sum of positive squares in only one way, i.e., 620944 + 199809 = 788^2 + 447^2 .

It is a cyclic number.

It is not a de Polignac number, because 820753 - 2⁹ = 820241 is a prime.

It is a super-3 number, since 3×820753³ = 1658665040607293331, which contains 333 as substring.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (820759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410376 + 410377.

It is an arithmetic number, because the mean of its divisors is an integer number (410377).

2⁸²⁰⁷⁵³ is an apocalyptic number.

It is an amenable number.

820753 is a deficient number, since it is larger than the sum of its proper divisors (1).

820753 is an equidigital number, since it uses as much as digits as its factorization.

820753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 820753 is about 905.9541931025. The cubic root of 820753 is about 93.6276578966.

The spelling of 820753 in words is "eight hundred twenty thousand, seven hundred fifty-three".