10009933 has 2 divisors, whose sum is σ = 10009934. Its totient is φ = 10009932.

The previous prime is 10009921. The next prime is 10009939. The reversal of 10009933 is 33990001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8219689 + 1790244 = 2867^2 + 1338^2 .

It is a cyclic number.

It is not a de Polignac number, because 10009933 - 2¹⁷ = 9878861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10009898 and 10009907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10009939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5004966 + 5004967.

It is an arithmetic number, because the mean of its divisors is an integer number (5004967).

Almost surely, 2^10009933 is an apocalyptic number.

It is an amenable number.

10009933 is a deficient number, since it is larger than the sum of its proper divisors (1).

10009933 is an equidigital number, since it uses as much as digits as its factorization.

10009933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 25.

The square root of 10009933 is about 3163.8478155562. The cubic root of 10009933 is about 215.5147787303.

Adding to 10009933 its reverse (33990001), we get a palindrome (43999934).

The spelling of 10009933 in words is "ten million, nine thousand, nine hundred thirty-three".