820993141 has 2 divisors, whose sum is σ = 820993142. Its totient is φ = 820993140.

The previous prime is 820993099. The next prime is 820993163. The reversal of 820993141 is 141399028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 451392516 + 369600625 = 21246^2 + 19225^2 .

It is a cyclic number.

It is not a de Polignac number, because 820993141 - 2¹³ = 820984949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820993141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820993171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410496570 + 410496571.

It is an arithmetic number, because the mean of its divisors is an integer number (410496571).

Almost surely, 2^820993141 is an apocalyptic number.

It is an amenable number.

820993141 is a deficient number, since it is larger than the sum of its proper divisors (1).

820993141 is an equidigital number, since it uses as much as digits as its factorization.

820993141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 820993141 is about 28652.9778731636. The cubic root of 820993141 is about 936.3678839303.

The spelling of 820993141 in words is "eight hundred twenty million, nine hundred ninety-three thousand, one hundred forty-one".