Search a number
-
+
36087013 is a prime number
BaseRepresentation
bin1000100110101…
…0010011100101
32111220102002001
42021222103211
533214241023
63325245301
7615506644
oct211522345
974812061
1036087013
1119408786
1210103831
137626781
144b1535b
15327c6ad
hex226a4e5

36087013 has 2 divisors, whose sum is σ = 36087014. Its totient is φ = 36087012.

The previous prime is 36086993. The next prime is 36087031. The reversal of 36087013 is 31078063.

Together with next prime (36087031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34363044 + 1723969 = 5862^2 + 1313^2 .

It is an emirp because it is prime and its reverse (31078063) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36087013 is a prime.

It is a super-3 number, since 3×360870133 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36087043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18043506 + 18043507.

It is an arithmetic number, because the mean of its divisors is an integer number (18043507).

Almost surely, 236087013 is an apocalyptic number.

It is an amenable number.

36087013 is a deficient number, since it is larger than the sum of its proper divisors (1).

36087013 is an equidigital number, since it uses as much as digits as its factorization.

36087013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 36087013 is about 6007.2467071030. The cubic root of 36087013 is about 330.4585391735.

The spelling of 36087013 in words is "thirty-six million, eighty-seven thousand, thirteen".