1006385837 has 2 divisors, whose sum is σ = 1006385838. Its totient is φ = 1006385836.

The previous prime is 1006385791. The next prime is 1006385851. The reversal of 1006385837 is 7385836001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 760711561 + 245674276 = 27581^2 + 15674^2 .

It is an emirp because it is prime and its reverse (7385836001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006385837 - 2¹⁴ = 1006369453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006385794 and 1006385803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006385537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503192918 + 503192919.

It is an arithmetic number, because the mean of its divisors is an integer number (503192919).

Almost surely, 2^1006385837 is an apocalyptic number.

It is an amenable number.

1006385837 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006385837 is an equidigital number, since it uses as much as digits as its factorization.

1006385837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 1006385837 is about 31723.5848699355. The cubic root of 1006385837 is about 1002.1240973493.

The spelling of 1006385837 in words is "one billion, six million, three hundred eighty-five thousand, eight hundred thirty-seven".