3201 has 8 divisors (see below), whose sum is σ = 4704. Its totient is φ = 1920.

The previous prime is 3191. The next prime is 3203. The reversal of 3201 is 1023.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3201 - 2^{5} = 3169 is a prime.

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3201.

It is not an unprimeable number, because it can be changed into a prime (3203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 81.

It is an arithmetic number, because the mean of its divisors is an integer number (588).

It is a Proth number, since it is equal to 25 ⋅ 2^{7} + 1 and 25 < 2^{7}.

3201 is the 33-rd octagonal number.

It is an amenable number.

3201 is a deficient number, since it is larger than the sum of its proper divisors (1503).

3201 is a wasteful number, since it uses less digits than its factorization.

3201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111.

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 3201 is about 56.5773806393. The cubic root of 3201 is about 14.7376608478.

Adding to 3201 its reverse (1023), we get a palindrome (4224).

The spelling of 3201 in words is "three thousand, two hundred one", and thus it is an iban number.

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