830148313 has 2 divisors, whose sum is σ = 830148314. Its totient is φ = 830148312.

The previous prime is 830148299. The next prime is 830148337. The reversal of 830148313 is 313841038.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 626601024 + 203547289 = 25032^2 + 14267^2 .

It is a cyclic number.

It is not a de Polignac number, because 830148313 - 2⁵ = 830148281 is a prime.

It is equal to p_42615616 and since 830148313 and 42615616 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (830148343) 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, 415074156 + 415074157.

It is an arithmetic number, because the mean of its divisors is an integer number (415074157).

Almost surely, 2^830148313 is an apocalyptic number.

It is an amenable number.

830148313 is a deficient number, since it is larger than the sum of its proper divisors (1).

830148313 is an equidigital number, since it uses as much as digits as its factorization.

830148313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 830148313 is about 28812.2944764904. The cubic root of 830148313 is about 939.8356106825.

The spelling of 830148313 in words is "eight hundred thirty million, one hundred forty-eight thousand, three hundred thirteen".