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BaseRepresentation
bin10000000001001
3102020202
42000021
5230301
6101545
732624
oct20011
912222
108201
116186
1248b5
13396b
142dbb
15266b
hex2009

8201 has 4 divisors (see below), whose sum is σ = 8400. Its totient is φ = 8004.

The previous prime is 8191. The next prime is 8209. The reversal of 8201 is 1028.

Adding to 8201 its reverse (1028), we get a palindrome (9229).

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 8201 - 210 = 7177 is a prime.

It is a d-powerful number, because it can be written as 8 + 0 + 213 + 1 .

It is a Duffinian number.

It is a plaindrome in base 9 and base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8201.

It is not an unprimeable number, because it can be changed into a prime (8209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

28201 is an apocalyptic number.

8201 is the 41-st centered decagonal number.

It is an amenable number.

8201 is a deficient number, since it is larger than the sum of its proper divisors (199).

8201 is a wasteful number, since it uses less digits than its factorization.

8201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 8201 is about 90.5593727893. The cubic root of 8201 is about 20.1661164464.

The spelling of 8201 in words is "eight thousand, two hundred one".

Divisors: 1 59 139 8201