1000033 has 2 divisors, whose sum is σ = 1000034. Its totient is φ = 1000032.

The previous prime is 1000003. The next prime is 1000037. The reversal of 1000033 is 3300001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 833569 + 166464 = 913^2 + 408^2 .

It is an emirp because it is prime and its reverse (3300001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000033 - 2⁹ = 999521 is a prime.

1000033 is a modest number, since divided by 33 gives 1 as remainder.

It is a plaindrome in base 7.

It is not a weakly prime, because it can be changed into another prime (1000037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500016 + 500017.

It is an arithmetic number, because the mean of its divisors is an integer number (500017).

2^1000033 is an apocalyptic number.

It is an amenable number.

1000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000033 is an equidigital number, since it uses as much as digits as its factorization.

1000033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 1000033 is about 1000.0164998639. The cubic root of 1000033 is about 100.0010999879.

Adding to 1000033 its reverse (3300001), we get a palindrome (4300034).

Subtracting 1000033 from its reverse (3300001), we obtain a cube (2299968 = 132³).

The spelling of 1000033 in words is "one million, thirty-three", and thus it is an aban number and an uban number.