10824839 has 2 divisors, whose sum is σ = 10824840. Its totient is φ = 10824838.

The previous prime is 10824823. The next prime is 10824841. The reversal of 10824839 is 93842801.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10824839 - 2⁴ = 10824823 is a prime.

It is a Sophie Germain prime.

Together with 10824841, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₇₁₅₆₇₉ and since 10824839 and 715679 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 10824799 and 10824808.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10824809) 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, 5412419 + 5412420.

It is an arithmetic number, because the mean of its divisors is an integer number (5412420).

Almost surely, 2^10824839 is an apocalyptic number.

10824839 is a deficient number, since it is larger than the sum of its proper divisors (1).

10824839 is an equidigital number, since it uses as much as digits as its factorization.

10824839 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 10824839 is about 3290.1123081135. The cubic root of 10824839 is about 221.2112187978.

The spelling of 10824839 in words is "ten million, eight hundred twenty-four thousand, eight hundred thirty-nine".