Search a number
33181 is a prime number
BaseRepresentation
bin1000000110011101
31200111221
420012131
52030211
6413341
7165511
oct100635
950457
1033181
1122a25
1217251
1312145
14c141
159c71
hex819d

33181 has 2 divisors, whose sum is σ = 33182. Its totient is φ = 33180.

The previous prime is 33179. The next prime is 33191. The reversal of 33181 is 18133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27556 + 5625 = 166^2 + 75^2 .

It is an emirp because it is prime and its reverse (18133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33181 - 21 = 33179 is a prime.

It is a super-2 number, since 2×331812 = 2201957522, which contains 22 as substring.

Together with 33179, it forms a pair of twin primes.

33181 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16590 + 16591.

It is an arithmetic number, because the mean of its divisors is an integer number (16591).

233181 is an apocalyptic number.

It is an amenable number.

33181 is a deficient number, since it is larger than the sum of its proper divisors (1).

33181 is an equidigital number, since it uses as much as digits as its factorization.

33181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 16.

The square root of 33181 is about 182.1565260977. The cubic root of 33181 is about 32.1338792092.

The spelling of 33181 in words is "thirty-three thousand, one hundred eighty-one".