34117033 has 2 divisors, whose sum is σ = 34117034. Its totient is φ = 34117032.

The previous prime is 34117009. The next prime is 34117037. The reversal of 34117033 is 33071143.

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., 28697449 + 5419584 = 5357^2 + 2328^2 .

It is a cyclic number.

It is not a de Polignac number, because 34117033 - 2²¹ = 32019881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34116995 and 34117013.

It is not a weakly prime, because it can be changed into another prime (34117037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17058516 + 17058517.

It is an arithmetic number, because the mean of its divisors is an integer number (17058517).

Almost surely, 2^34117033 is an apocalyptic number.

It is an amenable number.

34117033 is a deficient number, since it is larger than the sum of its proper divisors (1).

34117033 is an equidigital number, since it uses as much as digits as its factorization.

34117033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 34117033 is about 5840.9787707199. The cubic root of 34117033 is about 324.3324617921.

Adding to 34117033 its reverse (33071143), we get a palindrome (67188176).

The spelling of 34117033 in words is "thirty-four million, one hundred seventeen thousand, thirty-three".