821853001 has 2 divisors, whose sum is σ = 821853002. Its totient is φ = 821853000.

The previous prime is 821852989. The next prime is 821853029. The reversal of 821853001 is 100358128.

It is an a-pointer prime, because the next prime (821853029) can be obtained adding 821853001 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 621205776 + 200647225 = 24924^2 + 14165^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-821853001 is a prime.

It is not a weakly prime, because it can be changed into another prime (821853031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410926500 + 410926501.

It is an arithmetic number, because the mean of its divisors is an integer number (410926501).

Almost surely, 2^821853001 is an apocalyptic number.

It is an amenable number.

821853001 is a deficient number, since it is larger than the sum of its proper divisors (1).

821853001 is an equidigital number, since it uses as much as digits as its factorization.

821853001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 821853001 is about 28667.9786695888. The cubic root of 821853001 is about 936.6946687818.

The spelling of 821853001 in words is "eight hundred twenty-one million, eight hundred fifty-three thousand, one".