828349993 has 2 divisors, whose sum is σ = 828349994. Its totient is φ = 828349992.

The previous prime is 828349987. The next prime is 828350051. The reversal of 828349993 is 399943828.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 825297984 + 3052009 = 28728^2 + 1747^2 .

It is a cyclic number.

It is not a de Polignac number, because 828349993 - 2⁵ = 828349961 is a prime.

It is not a weakly prime, because it can be changed into another prime (828349943) 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, 414174996 + 414174997.

It is an arithmetic number, because the mean of its divisors is an integer number (414174997).

Almost surely, 2^828349993 is an apocalyptic number.

It is an amenable number.

828349993 is a deficient number, since it is larger than the sum of its proper divisors (1).

828349993 is an equidigital number, since it uses as much as digits as its factorization.

828349993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3359232, while the sum is 55.

The square root of 828349993 is about 28781.0700461258. The cubic root of 828349993 is about 939.1564761879.

The spelling of 828349993 in words is "eight hundred twenty-eight million, three hundred forty-nine thousand, nine hundred ninety-three".