824964853 has 2 divisors, whose sum is σ = 824964854. Its totient is φ = 824964852.

The previous prime is 824964841. The next prime is 824964863. The reversal of 824964853 is 358469428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 796481284 + 28483569 = 28222^2 + 5337^2 .

It is a cyclic number.

It is not a de Polignac number, because 824964853 - 2⁹ = 824964341 is a prime.

It is a super-3 number, since 3×824964853³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 824964797 and 824964806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (824964823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412482426 + 412482427.

It is an arithmetic number, because the mean of its divisors is an integer number (412482427).

Almost surely, 2^824964853 is an apocalyptic number.

It is an amenable number.

824964853 is a deficient number, since it is larger than the sum of its proper divisors (1).

824964853 is an equidigital number, since it uses as much as digits as its factorization.

824964853 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1658880, while the sum is 49.

The square root of 824964853 is about 28722.2013954362. The cubic root of 824964853 is about 937.8754087165.

The spelling of 824964853 in words is "eight hundred twenty-four million, nine hundred sixty-four thousand, eight hundred fifty-three".