47775 has 36 divisors (see below), whose sum is σ = 98952. Its totient is φ = 20160.

The previous prime is 47743. The next prime is 47777. The reversal of 47775 is 57774.

It is a happy number.

It is not a de Polignac number, because 47775 - 2⁵ = 47743 is a prime.

Its product of digits (6860) is a multiple of the sum of its prime divisors (28).

47775 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47775.

It is not an unprimeable number, because it can be changed into a prime (47777) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3669 + ... + 3681.

2⁴⁷⁷⁷⁵ is an apocalyptic number.

47775 is an abundant number, since it is smaller than the sum of its proper divisors (51177).

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 (49476).

47775 is a wasteful number, since it uses less digits than its factorization.

47775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 28 counting only the distinct ones).

The product of its digits is 6860, while the sum is 30.

The square root of 47775 is about 218.5749299439. The cubic root of 47775 is about 36.2855378797.

Subtracting 47775 from its reverse (57774), we obtain a palindrome (9999).

The spelling of 47775 in words is "forty-seven thousand, seven hundred seventy-five".