47753 has 6 divisors (see below), whose sum is σ = 51534. Its totient is φ = 44096.

The previous prime is 47743. The next prime is 47777. The reversal of 47753 is 35774.

47753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 24649 = 152^2 + 157^2 .

It is not a de Polignac number, because 47753 - 2⁴ = 47737 is a prime.

It is a Duffinian number.

Its product of digits (2940) is a multiple of the sum of its prime divisors (70).

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (47713) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 875 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (8589).

2⁴⁷⁷⁵³ is an apocalyptic number.

It is an amenable number.

47753 is a deficient number, since it is larger than the sum of its proper divisors (3781).

47753 is an equidigital number, since it uses as much as digits as its factorization.

47753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 70 counting only the distinct ones).

The product of its digits is 2940, while the sum is 26.

The square root of 47753 is about 218.5245981577. The cubic root of 47753 is about 36.2799672926.

It can be divided in two parts, 477 and 53, that multiplied together give a square (25281 = 159²).

The spelling of 47753 in words is "forty-seven thousand, seven hundred fifty-three".