1006133 has 2 divisors, whose sum is σ = 1006134. Its totient is φ = 1006132.

The previous prime is 1006123. The next prime is 1006147. The reversal of 1006133 is 3316001.

It is an a-pointer prime, because the next prime (1006147) can be obtained adding 1006133 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 877969 + 128164 = 937^2 + 358^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006133 - 2¹⁴ = 989749 is a prime.

It is a super-2 number, since 2×1006133² = 2024607227378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503066 + 503067.

It is an arithmetic number, because the mean of its divisors is an integer number (503067).

2^1006133 is an apocalyptic number.

It is an amenable number.

1006133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006133 is an equidigital number, since it uses as much as digits as its factorization.

1006133 is an evil number, because the sum of its binary digits is even.

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

The square root of 1006133 is about 1003.0618126516. The cubic root of 1006133 is about 100.2040168216.

The spelling of 1006133 in words is "one million, six thousand, one hundred thirty-three".