823147541 has 2 divisors, whose sum is σ = 823147542. Its totient is φ = 823147540.

The previous prime is 823147511. The next prime is 823147553. The reversal of 823147541 is 145741328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 785680900 + 37466641 = 28030^2 + 6121^2 .

It is a cyclic number.

It is not a de Polignac number, because 823147541 - 2⁶ = 823147477 is a prime.

It is a Chen prime.

It is equal to p_42274781 and since 823147541 and 42274781 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 (823147511) 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, 411573770 + 411573771.

It is an arithmetic number, because the mean of its divisors is an integer number (411573771).

Almost surely, 2^823147541 is an apocalyptic number.

It is an amenable number.

823147541 is a deficient number, since it is larger than the sum of its proper divisors (1).

823147541 is an equidigital number, since it uses as much as digits as its factorization.

823147541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26880, while the sum is 35.

The square root of 823147541 is about 28690.5479383019. The cubic root of 823147541 is about 937.1862216518.

Adding to 823147541 its reverse (145741328), we get a palindrome (968888869).

The spelling of 823147541 in words is "eight hundred twenty-three million, one hundred forty-seven thousand, five hundred forty-one".