1006331 has 2 divisors, whose sum is σ = 1006332. Its totient is φ = 1006330.

The previous prime is 1006309. The next prime is 1006333. The reversal of 1006331 is 1336001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1006331 - 2⁶ = 1006267 is a prime.

It is a super-2 number, since 2×1006331² = 2025404163122, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 1006333, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (1006333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503165 + 503166.

It is an arithmetic number, because the mean of its divisors is an integer number (503166).

2^1006331 is an apocalyptic number.

1006331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006331 is an equidigital number, since it uses as much as digits as its factorization.

1006331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1006331 is about 1003.1605056022. The cubic root of 1006331 is about 100.2105895425.

The spelling of 1006331 in words is "one million, six thousand, three hundred thirty-one".