Search a number
-
+
33114071 is a prime number
BaseRepresentation
bin111111001010…
…0011111010111
32022022100222002
41332110133113
531434122241
63141425515
7551315324
oct176243727
968270862
1033114071
1117768101
12b10b29b
136b25533
14457db4b
152d9189b
hex1f947d7

33114071 has 2 divisors, whose sum is σ = 33114072. Its totient is φ = 33114070.

The previous prime is 33114061. The next prime is 33114073. The reversal of 33114071 is 17041133.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (17041133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33114071 - 26 = 33114007 is a prime.

Together with 33114073, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p2038232 and since 33114071 and 2038232 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 (33114073) 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, 16557035 + 16557036.

It is an arithmetic number, because the mean of its divisors is an integer number (16557036).

Almost surely, 233114071 is an apocalyptic number.

33114071 is a deficient number, since it is larger than the sum of its proper divisors (1).

33114071 is an equidigital number, since it uses as much as digits as its factorization.

33114071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 33114071 is about 5754.4826874359. The cubic root of 33114071 is about 321.1225904439.

The spelling of 33114071 in words is "thirty-three million, one hundred fourteen thousand, seventy-one".