814567141 has 2 divisors, whose sum is σ = 814567142. Its totient is φ = 814567140.

The previous prime is 814567111. The next prime is 814567147. The reversal of 814567141 is 141765418.

814567141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 799192900 + 15374241 = 28270^2 + 3921^2 .

It is a cyclic number.

It is not a de Polignac number, because 814567141 - 2⁹ = 814566629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 814567141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814567147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407283570 + 407283571.

It is an arithmetic number, because the mean of its divisors is an integer number (407283571).

Almost surely, 2^814567141 is an apocalyptic number.

It is an amenable number.

814567141 is a deficient number, since it is larger than the sum of its proper divisors (1).

814567141 is an equidigital number, since it uses as much as digits as its factorization.

814567141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26880, while the sum is 37.

The square root of 814567141 is about 28540.6226456257. The cubic root of 814567141 is about 933.9184653869.

The spelling of 814567141 in words is "eight hundred fourteen million, five hundred sixty-seven thousand, one hundred forty-one".