47745 has 12 divisors (see below), whose sum is σ = 82836. Its totient is φ = 25440.

The previous prime is 47743. The next prime is 47777. The reversal of 47745 is 54774.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 23409 = 156^2 + 153^2 .

It is not a de Polignac number, because 47745 - 2¹ = 47743 is a prime.

47745 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (47741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (6903).

2⁴⁷⁷⁴⁵ is an apocalyptic number.

47745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47745 is a deficient number, since it is larger than the sum of its proper divisors (35091).

47745 is a wasteful number, since it uses less digits than its factorization.

47745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1069 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 47745 is about 218.5062928156. The cubic root of 47745 is about 36.2779412004.

The spelling of 47745 in words is "forty-seven thousand, seven hundred forty-five".