856806101 has 2 divisors, whose sum is σ = 856806102. Its totient is φ = 856806100.

The previous prime is 856806079. The next prime is 856806127. The reversal of 856806101 is 101608658.

856806101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 795183601 + 61622500 = 28199^2 + 7850^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-856806101 is a prime.

It is equal to p_43912853 and since 856806101 and 43912853 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (856806161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 428403050 + 428403051.

It is an arithmetic number, because the mean of its divisors is an integer number (428403051).

Almost surely, 2^856806101 is an apocalyptic number.

It is an amenable number.

856806101 is a deficient number, since it is larger than the sum of its proper divisors (1).

856806101 is an equidigital number, since it uses as much as digits as its factorization.

856806101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 856806101 is about 29271.2504174318. The cubic root of 856806101 is about 949.7898338413.

The spelling of 856806101 in words is "eight hundred fifty-six million, eight hundred six thousand, one hundred one".