Search a number
-
+
34513 is a prime number
BaseRepresentation
bin1000011011010001
31202100021
420123101
52101023
6423441
7202423
oct103321
952307
1034513
1123a26
1217b81
131292b
14c813
15a35d
hex86d1

34513 has 2 divisors, whose sum is σ = 34514. Its totient is φ = 34512.

The previous prime is 34511. The next prime is 34519. The reversal of 34513 is 31543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33489 + 1024 = 183^2 + 32^2 .

It is an emirp because it is prime and its reverse (31543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34513 - 21 = 34511 is a prime.

It is a super-3 number, since 3×345133 = 123330186731091, which contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 34511, it forms a pair of twin primes.

34513 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (34511) 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, 17256 + 17257.

It is an arithmetic number, because the mean of its divisors is an integer number (17257).

234513 is an apocalyptic number.

It is an amenable number.

34513 is a deficient number, since it is larger than the sum of its proper divisors (1).

34513 is an equidigital number, since it uses as much as digits as its factorization.

34513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 16.

The square root of 34513 is about 185.7767477377. The cubic root of 34513 is about 32.5582387713.

The spelling of 34513 in words is "thirty-four thousand, five hundred thirteen".