820232591 has 2 divisors, whose sum is σ = 820232592. Its totient is φ = 820232590.

The previous prime is 820232533. The next prime is 820232639. The reversal of 820232591 is 195232028.

It is a happy number.

820232591 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 is a cyclic number.

It is not a de Polignac number, because 820232591 - 2¹⁴ = 820216207 is a prime.

It is a Chen prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820232531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410116295 + 410116296.

It is an arithmetic number, because the mean of its divisors is an integer number (410116296).

Almost surely, 2^820232591 is an apocalyptic number.

820232591 is a deficient number, since it is larger than the sum of its proper divisors (1).

820232591 is an equidigital number, since it uses as much as digits as its factorization.

820232591 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 820232591 is about 28639.7030536282. The cubic root of 820232591 is about 936.0786510570.

The spelling of 820232591 in words is "eight hundred twenty million, two hundred thirty-two thousand, five hundred ninety-one".