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33149 is a prime number
BaseRepresentation
bin1000000101111101
31200110202
420011331
52030044
6413245
7165434
oct100575
950422
1033149
11229a6
1217225
131211c
14c11b
159c4e
hex817d

33149 has 2 divisors, whose sum is σ = 33150. Its totient is φ = 33148.

The previous prime is 33119. The next prime is 33151. The reversal of 33149 is 94133.

33149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 25 = 182^2 + 5^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33149 is a prime.

Together with 33151, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16574 + 16575.

It is an arithmetic number, because the mean of its divisors is an integer number (16575).

233149 is an apocalyptic number.

It is an amenable number.

33149 is a deficient number, since it is larger than the sum of its proper divisors (1).

33149 is an equidigital number, since it uses as much as digits as its factorization.

33149 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 20.

The square root of 33149 is about 182.0686683644. The cubic root of 33149 is about 32.1235458370.

The spelling of 33149 in words is "thirty-three thousand, one hundred forty-nine".