47766 has 16 divisors (see below), whose sum is σ = 100800. Its totient is φ = 15048.

The previous prime is 47743. The next prime is 47777. The reversal of 47766 is 66774.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

47766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁴⁷⁷⁶⁶ is an apocalyptic number.

47766 is an abundant number, since it is smaller than the sum of its proper divisors (53034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

47766 is a wasteful number, since it uses less digits than its factorization.

47766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443.

The product of its digits is 7056, while the sum is 30.

The square root of 47766 is about 218.5543410688. The cubic root of 47766 is about 36.2832592099.

The spelling of 47766 in words is "forty-seven thousand, seven hundred sixty-six".