47201 has 8 divisors (see below), whose sum is σ = 58944. Its totient is φ = 36720.

The previous prime is 47189. The next prime is 47207. The reversal of 47201 is 10274.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 47201 - 2⁶ = 47137 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (47207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (7368).

2⁴⁷²⁰¹ is an apocalyptic number.

It is an amenable number.

47201 is a deficient number, since it is larger than the sum of its proper divisors (11743).

47201 is a wasteful number, since it uses less digits than its factorization.

47201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 47201 is about 217.2579112484. The cubic root of 47201 is about 36.1396326062.

Adding to 47201 its reverse (10274), we get a palindrome (57475).

The spelling of 47201 in words is "forty-seven thousand, two hundred one", and thus it is an iban number.