824385953 has 2 divisors, whose sum is σ = 824385954. Its totient is φ = 824385952.

The previous prime is 824385931. The next prime is 824385971. The reversal of 824385953 is 359583428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 606292129 + 218093824 = 24623^2 + 14768^2 .

It is a cyclic number.

It is not a de Polignac number, because 824385953 - 2²⁰ = 823337377 is a prime.

It is a super-2 number, since 2×824385953² = 1359224399007436418, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 824385898 and 824385907.

It is not a weakly prime, because it can be changed into another prime (824382953) 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, 412192976 + 412192977.

It is an arithmetic number, because the mean of its divisors is an integer number (412192977).

Almost surely, 2^824385953 is an apocalyptic number.

It is an amenable number.

824385953 is a deficient number, since it is larger than the sum of its proper divisors (1).

824385953 is an equidigital number, since it uses as much as digits as its factorization.

824385953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1036800, while the sum is 47.

The square root of 824385953 is about 28712.1220567202. The cubic root of 824385953 is about 937.6559799254.

The spelling of 824385953 in words is "eight hundred twenty-four million, three hundred eighty-five thousand, nine hundred fifty-three".