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36187241 is a prime number
BaseRepresentation
bin1000101000001…
…0110001101001
32112002111120012
42022002301221
533230442431
63331341305
7616405106
oct212026151
975074505
1036187241
1119477012
1210151835
13766028c
144b3daad
15329c22b
hex2282c69

36187241 has 2 divisors, whose sum is σ = 36187242. Its totient is φ = 36187240.

The previous prime is 36187231. The next prime is 36187243. The reversal of 36187241 is 14278163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35952016 + 235225 = 5996^2 + 485^2 .

It is an emirp because it is prime and its reverse (14278163) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36187241 is a prime.

It is a super-2 number, since 2×361872412 = 2619032822384162, which contains 22 as substring.

Together with 36187243, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36187198 and 36187207.

It is not a weakly prime, because it can be changed into another prime (36187243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18093620 + 18093621.

It is an arithmetic number, because the mean of its divisors is an integer number (18093621).

Almost surely, 236187241 is an apocalyptic number.

It is an amenable number.

36187241 is a deficient number, since it is larger than the sum of its proper divisors (1).

36187241 is an equidigital number, since it uses as much as digits as its factorization.

36187241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8064, while the sum is 32.

The square root of 36187241 is about 6015.5831803741. The cubic root of 36187241 is about 330.7641946745.

The spelling of 36187241 in words is "thirty-six million, one hundred eighty-seven thousand, two hundred forty-one".