806828301 has 6 divisors (see below), whose sum is σ = 1165418670. Its totient is φ = 537885528.

The previous prime is 806828291. The next prime is 806828311. The reversal of 806828301 is 103828608.

It is an interprime number because it is at equal distance from previous prime (806828291) and next prime (806828311).

It can be written as a sum of positive squares in only one way, i.e., 737122500 + 69705801 = 27150^2 + 8349^2 .

It is not a de Polignac number, because 806828301 - 2⁶ = 806828237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806828311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44823786 + ... + 44823803.

It is an arithmetic number, because the mean of its divisors is an integer number (194236445).

Almost surely, 2^806828301 is an apocalyptic number.

It is an amenable number.

806828301 is a deficient number, since it is larger than the sum of its proper divisors (358590369).

806828301 is a wasteful number, since it uses less digits than its factorization.

806828301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89647595 (or 89647592 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 806828301 is about 28404.7232163948. The cubic root of 806828301 is about 930.9514681370.

The spelling of 806828301 in words is "eight hundred six million, eight hundred twenty-eight thousand, three hundred one".