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36013 is a prime number
BaseRepresentation
bin1000110010101101
31211101211
420302231
52123023
6434421
7206665
oct106255
954354
1036013
112506a
1218a11
1313513
14d1a5
15aa0d
hex8cad

36013 has 2 divisors, whose sum is σ = 36014. Its totient is φ = 36012.

The previous prime is 36011. The next prime is 36017. The reversal of 36013 is 31063.

36013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29929 + 6084 = 173^2 + 78^2 .

It is an emirp because it is prime and its reverse (31063) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36013 - 21 = 36011 is a prime.

Together with 36011, it forms a pair of twin primes.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 35984 and 36002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18006 + 18007.

It is an arithmetic number, because the mean of its divisors is an integer number (18007).

236013 is an apocalyptic number.

It is an amenable number.

36013 is a deficient number, since it is larger than the sum of its proper divisors (1).

36013 is an equidigital number, since it uses as much as digits as its factorization.

36013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 36013 is about 189.7709145259. The cubic root of 36013 is about 33.0232465527.

Adding to 36013 its reverse (31063), we get a palindrome (67076).

Subtracting from 36013 its reverse (31063), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 360 and 13, that added together give a palindrome (373).

The spelling of 36013 in words is "thirty-six thousand, thirteen".