821527417 has 2 divisors, whose sum is σ = 821527418. Its totient is φ = 821527416.

The previous prime is 821527403. The next prime is 821527423. The reversal of 821527417 is 714725128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 804913641 + 16613776 = 28371^2 + 4076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-821527417 is a prime.

It is not a weakly prime, because it can be changed into another prime (821527117) 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, 410763708 + 410763709.

It is an arithmetic number, because the mean of its divisors is an integer number (410763709).

Almost surely, 2^821527417 is an apocalyptic number.

It is an amenable number.

821527417 is a deficient number, since it is larger than the sum of its proper divisors (1).

821527417 is an equidigital number, since it uses as much as digits as its factorization.

821527417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31360, while the sum is 37.

The square root of 821527417 is about 28662.2995762727. The cubic root of 821527417 is about 936.5709592789.

The spelling of 821527417 in words is "eight hundred twenty-one million, five hundred twenty-seven thousand, four hundred seventeen".