Search a number
-
+
33738097 is a prime number
BaseRepresentation
bin1000000010110…
…0110101110001
32100111001222011
42000230311301
532114104342
63203042521
7556524541
oct200546561
970431864
1033738097
1118053a28
12b370441
136cb3593
1446a3321
152e66717
hex202cd71

33738097 has 2 divisors, whose sum is σ = 33738098. Its totient is φ = 33738096.

The previous prime is 33738077. The next prime is 33738109. The reversal of 33738097 is 79083733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27468081 + 6270016 = 5241^2 + 2504^2 .

It is an emirp because it is prime and its reverse (79083733) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33738097 is a prime.

It is a super-2 number, since 2×337380972 = 2276518378362818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33738037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16869048 + 16869049.

It is an arithmetic number, because the mean of its divisors is an integer number (16869049).

Almost surely, 233738097 is an apocalyptic number.

It is an amenable number.

33738097 is a deficient number, since it is larger than the sum of its proper divisors (1).

33738097 is an equidigital number, since it uses as much as digits as its factorization.

33738097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 33738097 is about 5808.4504818411. The cubic root of 33738097 is about 323.1272075767.

The spelling of 33738097 in words is "thirty-three million, seven hundred thirty-eight thousand, ninety-seven".