Search a number
-
+
33364909 is a prime number
BaseRepresentation
bin111111101000…
…1101110101101
32022210010001101
41333101232231
532020134114
63151043101
7553411534
oct177215655
968703041
1033364909
1117919606
12b210491
136bb2766
14460731b
152de0d74
hex1fd1bad

33364909 has 2 divisors, whose sum is σ = 33364910. Its totient is φ = 33364908.

The previous prime is 33364907. The next prime is 33364951. The reversal of 33364909 is 90946333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17388900 + 15976009 = 4170^2 + 3997^2 .

It is a cyclic number.

It is not a de Polignac number, because 33364909 - 21 = 33364907 is a prime.

It is a super-2 number, since 2×333649092 = 2226434305156562, which contains 22 as substring.

Together with 33364907, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33364907) 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, 16682454 + 16682455.

It is an arithmetic number, because the mean of its divisors is an integer number (16682455).

Almost surely, 233364909 is an apocalyptic number.

It is an amenable number.

33364909 is a deficient number, since it is larger than the sum of its proper divisors (1).

33364909 is an equidigital number, since it uses as much as digits as its factorization.

33364909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 37.

The square root of 33364909 is about 5776.2365775650. The cubic root of 33364909 is about 321.9313827015.

The spelling of 33364909 in words is "thirty-three million, three hundred sixty-four thousand, nine hundred nine".