806820401 has 2 divisors, whose sum is σ = 806820402. Its totient is φ = 806820400.

The previous prime is 806820379. The next prime is 806820439. The reversal of 806820401 is 104028608.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 595408801 + 211411600 = 24401^2 + 14540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-806820401 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (806820451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403410200 + 403410201.

It is an arithmetic number, because the mean of its divisors is an integer number (403410201).

Almost surely, 2^806820401 is an apocalyptic number.

It is an amenable number.

806820401 is a deficient number, since it is larger than the sum of its proper divisors (1).

806820401 is an equidigital number, since it uses as much as digits as its factorization.

806820401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 806820401 is about 28404.5841546748. The cubic root of 806820401 is about 930.9484296794.

The spelling of 806820401 in words is "eight hundred six million, eight hundred twenty thousand, four hundred one".