6201 has 12 divisors (see below), whose sum is σ = 9828. Its totient is φ = 3744.

The previous prime is 6199. The next prime is 6203. The reversal of 6201 is 1026.

6201 = 1² + 2² + ... + 26².

It is an interprime number because it is at equal distance from previous prime (6199) and next prime (6203).

It can be written as a sum of positive squares in 2 ways, for example, as 2601 + 3600 = 51^2 + 60^2 .

It is not a de Polignac number, because 6201 - 2¹ = 6199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (819).

2⁶²⁰¹ is an apocalyptic number.

It is an amenable number.

6201 is a deficient number, since it is larger than the sum of its proper divisors (3627).

6201 is a wasteful number, since it uses less digits than its factorization.

6201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 6201 is about 78.7464284904. The cubic root of 6201 is about 18.3718931301.

Adding to 6201 its reverse (1026), we get a palindrome (7227).

The spelling of 6201 in words is "six thousand, two hundred one".