821053 has 2 divisors, whose sum is σ = 821054. Its totient is φ = 821052.

The previous prime is 821039. The next prime is 821057. The reversal of 821053 is 350128.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 573049 + 248004 = 757^2 + 498^2 .

It is a cyclic number.

It is not a de Polignac number, because 821053 - 2⁹ = 820541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 821053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (821057) 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 as a sum of consecutive naturals, namely, 410526 + 410527.

It is an arithmetic number, because the mean of its divisors is an integer number (410527).

2⁸²¹⁰⁵³ is an apocalyptic number.

It is an amenable number.

821053 is a deficient number, since it is larger than the sum of its proper divisors (1).

821053 is an equidigital number, since it uses as much as digits as its factorization.

821053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 821053 is about 906.1197492605. The cubic root of 821053 is about 93.6390640386.

The spelling of 821053 in words is "eight hundred twenty-one thousand, fifty-three".