826123049 has 2 divisors, whose sum is σ = 826123050. Its totient is φ = 826123048.

The previous prime is 826123037. The next prime is 826123057. The reversal of 826123049 is 940321628.

826123049 is digitally balanced in base 2, 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., 793267225 + 32855824 = 28165^2 + 5732^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-826123049 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (826123079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413061524 + 413061525.

It is an arithmetic number, because the mean of its divisors is an integer number (413061525).

Almost surely, 2^826123049 is an apocalyptic number.

It is an amenable number.

826123049 is a deficient number, since it is larger than the sum of its proper divisors (1).

826123049 is an equidigital number, since it uses as much as digits as its factorization.

826123049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 826123049 is about 28742.3563578215. The cubic root of 826123049 is about 938.3141084587.

The spelling of 826123049 in words is "eight hundred twenty-six million, one hundred twenty-three thousand, forty-nine".