821610473 has 2 divisors, whose sum is σ = 821610474. Its totient is φ = 821610472.

The previous prime is 821610437. The next prime is 821610487. The reversal of 821610473 is 374016128.

Together with previous prime (821610437) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 792309904 + 29300569 = 28148^2 + 5413^2 .

It is a cyclic number.

It is not a de Polignac number, because 821610473 - 2²⁸ = 553175017 is a prime.

It is not a weakly prime, because it can be changed into another prime (821619473) 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, 410805236 + 410805237.

It is an arithmetic number, because the mean of its divisors is an integer number (410805237).

Almost surely, 2^821610473 is an apocalyptic number.

It is an amenable number.

821610473 is a deficient number, since it is larger than the sum of its proper divisors (1).

821610473 is an equidigital number, since it uses as much as digits as its factorization.

821610473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 821610473 is about 28663.7484115389. The cubic root of 821610473 is about 936.6025204964.

The spelling of 821610473 in words is "eight hundred twenty-one million, six hundred ten thousand, four hundred seventy-three".