Search a number
-
+
33114661 is a prime number
BaseRepresentation
bin111111001010…
…0101000100101
32022022101202221
41332110220211
531434132121
63141432341
7551320126
oct176245045
968271687
1033114661
1117768598
12b10b6b1
136b25898
14458004d
152d91b41
hex1f94a25

33114661 has 2 divisors, whose sum is σ = 33114662. Its totient is φ = 33114660.

The previous prime is 33114647. The next prime is 33114671. The reversal of 33114661 is 16641133.

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., 25100100 + 8014561 = 5010^2 + 2831^2 .

It is an emirp because it is prime and its reverse (16641133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33114661 - 219 = 32590373 is a prime.

It is equal to p2038264 and since 33114661 and 2038264 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33114611) 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, 16557330 + 16557331.

It is an arithmetic number, because the mean of its divisors is an integer number (16557331).

Almost surely, 233114661 is an apocalyptic number.

It is an amenable number.

33114661 is a deficient number, since it is larger than the sum of its proper divisors (1).

33114661 is an equidigital number, since it uses as much as digits as its factorization.

33114661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 25.

The square root of 33114661 is about 5754.5339515898. The cubic root of 33114661 is about 321.1244976010.

Adding to 33114661 its reverse (16641133), we get a palindrome (49755794).

The spelling of 33114661 in words is "thirty-three million, one hundred fourteen thousand, six hundred sixty-one".