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4147 = 111329

4147 has 8 divisors (see below), whose sum is σ = 5040. Its totient is φ = 3360.

The previous prime is 4139. The next prime is 4153. The reversal of 4147 is 7414.

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 4147 - 23 = 4139 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 4147.

It is not an unprimeable number, because it can be changed into a prime (4127) by changing a digit.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129 + ... + 157.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

24147 is an apocalyptic number.

4147 is a deficient number, since it is larger than the sum of its proper divisors (893).

4147 is a wasteful number, since it uses less digits than its factorization.

4147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53.

The product of its digits is 112, while the sum is 16.

The square root of 4147 is about 64.3972049083. The cubic root of 4147 is about 16.0661325289.

Multiplying 4147 by its product of digits (112), we get a palindrome (464464).

It can be divided in two parts, 41 and 47, that added together give a palindrome (88).

The spelling of 4147 in words is "four thousand, one hundred forty-seven", and thus it is an iban number.

Divisors: 1 11 13 29 143 319 377 4147