1034116033 has 2 divisors, whose sum is σ = 1034116034. Its totient is φ = 1034116032.

The previous prime is 1034116003. The next prime is 1034116091. The reversal of 1034116033 is 3306114301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 835672464 + 198443569 = 28908^2 + 14087^2 .

It is a cyclic number.

It is not a de Polignac number, because 1034116033 - 2¹⁷ = 1033984961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1034115995 and 1034116013.

It is not a weakly prime, because it can be changed into another prime (1034116003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 517058016 + 517058017.

It is an arithmetic number, because the mean of its divisors is an integer number (517058017).

Almost surely, 2^1034116033 is an apocalyptic number.

It is an amenable number.

1034116033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1034116033 is an equidigital number, since it uses as much as digits as its factorization.

1034116033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 1034116033 is about 32157.6745583383. The cubic root of 1034116033 is about 1011.2450850741.

The spelling of 1034116033 in words is "one billion, thirty-four million, one hundred sixteen thousand, thirty-three".