1005331 has 2 divisors, whose sum is σ = 1005332. Its totient is φ = 1005330.

The previous prime is 1005317. The next prime is 1005349. The reversal of 1005331 is 1335001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1005331 - 2⁷ = 1005203 is a prime.

It is a super-2 number, since 2×1005331² = 2021380839122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502665 + 502666.

It is an arithmetic number, because the mean of its divisors is an integer number (502666).

2^1005331 is an apocalyptic number.

1005331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005331 is an equidigital number, since it uses as much as digits as its factorization.

1005331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 1005331 is about 1002.6619569925. The cubic root of 1005331 is about 100.1773851590.

The spelling of 1005331 in words is "one million, five thousand, three hundred thirty-one".