830221417 has 2 divisors, whose sum is σ = 830221418. Its totient is φ = 830221416.

The previous prime is 830221411. The next prime is 830221439. The reversal of 830221417 is 714122038.

830221417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 489117456 + 341103961 = 22116^2 + 18469^2 .

It is a cyclic number.

It is not a de Polignac number, because 830221417 - 2⁷ = 830221289 is a prime.

It is not a weakly prime, because it can be changed into another prime (830221411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415110708 + 415110709.

It is an arithmetic number, because the mean of its divisors is an integer number (415110709).

Almost surely, 2^830221417 is an apocalyptic number.

It is an amenable number.

830221417 is a deficient number, since it is larger than the sum of its proper divisors (1).

830221417 is an equidigital number, since it uses as much as digits as its factorization.

830221417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 830221417 is about 28813.5630736638. The cubic root of 830221417 is about 939.8631976107.

It can be divided in two parts, 8 and 30221417, that added together give a triangular number (30221425 = T₇₇₇₄).

The spelling of 830221417 in words is "eight hundred thirty million, two hundred twenty-one thousand, four hundred seventeen".