10827049 has 2 divisors, whose sum is σ = 10827050. Its totient is φ = 10827048.

The previous prime is 10827023. The next prime is 10827067. The reversal of 10827049 is 94072801.

10827049 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6985449 + 3841600 = 2643^2 + 1960^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10827049 is a prime.

It is equal to p₇₁₅₈₁₉ and since 10827049 and 715819 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10827049.

It is not a weakly prime, because it can be changed into another prime (10827449) 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, 5413524 + 5413525.

It is an arithmetic number, because the mean of its divisors is an integer number (5413525).

Almost surely, 2^10827049 is an apocalyptic number.

It is an amenable number.

10827049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10827049 is an equidigital number, since it uses as much as digits as its factorization.

10827049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 10827049 is about 3290.4481457698. The cubic root of 10827049 is about 221.2262719401.

It can be divided in two parts, 108 and 27049, that multiplied together give a palindrome (2921292).

The spelling of 10827049 in words is "ten million, eight hundred twenty-seven thousand, forty-nine".