827406137 has 2 divisors, whose sum is σ = 827406138. Its totient is φ = 827406136.

The previous prime is 827406121. The next prime is 827406149. The reversal of 827406137 is 731604728.

827406137 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., 802645561 + 24760576 = 28331^2 + 4976^2 .

It is a cyclic number.

It is not a de Polignac number, because 827406137 - 2⁴ = 827406121 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 827406137.

It is not a weakly prime, because it can be changed into another prime (827406197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413703068 + 413703069.

It is an arithmetic number, because the mean of its divisors is an integer number (413703069).

Almost surely, 2^827406137 is an apocalyptic number.

It is an amenable number.

827406137 is a deficient number, since it is larger than the sum of its proper divisors (1).

827406137 is an equidigital number, since it uses as much as digits as its factorization.

827406137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 827406137 is about 28764.6682059780. The cubic root of 827406137 is about 938.7996361350.

The spelling of 827406137 in words is "eight hundred twenty-seven million, four hundred six thousand, one hundred thirty-seven".