34003933 has 2 divisors, whose sum is σ = 34003934. Its totient is φ = 34003932.

The previous prime is 34003903. The next prime is 34003951. The reversal of 34003933 is 33930043.

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., 26594649 + 7409284 = 5157^2 + 2722^2 .

It is a cyclic number.

It is not a de Polignac number, because 34003933 - 2⁹ = 34003421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34003898 and 34003907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34003903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17001966 + 17001967.

It is an arithmetic number, because the mean of its divisors is an integer number (17001967).

Almost surely, 2^34003933 is an apocalyptic number.

It is an amenable number.

34003933 is a deficient number, since it is larger than the sum of its proper divisors (1).

34003933 is an equidigital number, since it uses as much as digits as its factorization.

34003933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

The square root of 34003933 is about 5831.2891370605. The cubic root of 34003933 is about 323.9736712081.

Adding to 34003933 its reverse (33930043), we get a palindrome (67933976).

The spelling of 34003933 in words is "thirty-four million, three thousand, nine hundred thirty-three".