20006801 has 2 divisors, whose sum is σ = 20006802. Its totient is φ = 20006800.

The previous prime is 20006797. The next prime is 20006813. The reversal of 20006801 is 10860002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12082576 + 7924225 = 3476^2 + 2815^2 .

It is a cyclic number.

It is not a de Polignac number, because 20006801 - 2² = 20006797 is a prime.

It is equal to p_1271015 and since 20006801 and 1271015 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20006801.

It is not a weakly prime, because it can be changed into another prime (20006851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10003400 + 10003401.

It is an arithmetic number, because the mean of its divisors is an integer number (10003401).

Almost surely, 2^20006801 is an apocalyptic number.

It is an amenable number.

20006801 is a deficient number, since it is larger than the sum of its proper divisors (1).

20006801 is an equidigital number, since it uses as much as digits as its factorization.

20006801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 20006801 is about 4472.8962652849. The cubic root of 20006801 is about 271.4725260963.

Adding to 20006801 its reverse (10860002), we get a palindrome (30866803).

The spelling of 20006801 in words is "twenty million, six thousand, eight hundred one".