47905 has 16 divisors (see below), whose sum is σ = 68544. Its totient is φ = 31680.

The previous prime is 47903. The next prime is 47911. The reversal of 47905 is 50974.

47905 = T₁ + T₂ + ... + T₆₅.

47905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

47905 is a nontrivial binomial coefficient, being equal to C(67, 3).

It is not a de Polignac number, because 47905 - 2¹ = 47903 is a prime.

It is a Duffinian number.

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 47905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47903) by changing a digit.

It is the 65-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682 + ... + 748.

It is an arithmetic number, because the mean of its divisors is an integer number (4284).

2⁴⁷⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

47905 is a deficient number, since it is larger than the sum of its proper divisors (20639).

47905 is a wasteful number, since it uses less digits than its factorization.

47905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 47905 is about 218.8721087759. The cubic root of 47905 is about 36.3184201251.

The spelling of 47905 in words is "forty-seven thousand, nine hundred five".