47005 has 16 divisors (see below), whose sum is σ = 69120. Its totient is φ = 29952.

The previous prime is 46997. The next prime is 47017. The reversal of 47005 is 50074.

47005 = 64² + 65² + ... + 73².

It is a cyclic number.

It is not a de Polignac number, because 47005 - 2³ = 46997 is a prime.

47005 is a lucky number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 47005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556 + ... + 634.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁴⁷⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

47005 is a deficient number, since it is larger than the sum of its proper divisors (22115).

47005 is a wasteful number, since it uses less digits than its factorization.

47005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 47005 is about 216.8063652202. The cubic root of 47005 is about 36.0895404816.

Adding to 47005 its reverse (50074), we get a palindrome (97079).

The spelling of 47005 in words is "forty-seven thousand, five".