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4201 is a prime number
BaseRepresentation
bin1000001101001
312202121
41001221
5113301
631241
715151
oct10151
95677
104201
11317a
122521
131bb2
141761
1513a1
hex1069

4201 has 2 divisors, whose sum is σ = 4202. Its totient is φ = 4200.

The previous prime is 4177. The next prime is 4211. The reversal of 4201 is 1024.

Adding to 4201 its reverse (1024), we get a palindrome (5225).

4201 is nontrivially palindromic in base 7.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2601 + 1600 = 51^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 4201 - 27 = 4073 is a prime.

4201 is an undulating number in base 7.

4201 is a lucky number.

It is a plaindrome in base 9.

It is not a weakly prime, because it can be changed into another prime (4211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2100 + 2101.

It is an arithmetic number, because the mean of its divisors is an integer number (2101).

24201 is an apocalyptic number.

It is an amenable number.

4201 is a deficient number, since it is larger than the sum of its proper divisors (1).

4201 is an equidigital number, since it uses as much as digits as its factorization.

4201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 4201 is about 64.8151216924. The cubic root of 4201 is about 16.1355668576.

The spelling of 4201 in words is "four thousand, two hundred one", and thus it is an iban number.