48753 has 6 divisors (see below), whose sum is σ = 70434. Its totient is φ = 32496.

The previous prime is 48751. The next prime is 48757. The reversal of 48753 is 35784.

It can be written as a sum of positive squares in only one way, i.e., 31329 + 17424 = 177^2 + 132^2 .

It is not a de Polignac number, because 48753 - 2¹ = 48751 is a prime.

48753 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48753.

It is not an unprimeable number, because it can be changed into a prime (48751) 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, 2700 + ... + 2717.

It is an arithmetic number, because the mean of its divisors is an integer number (11739).

48753 is a Friedman number, since it can be written as 78*5^4+3, using all its digits and the basic arithmetic operations.

2⁴⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

48753 is a deficient number, since it is larger than the sum of its proper divisors (21681).

48753 is a wasteful number, since it uses less digits than its factorization.

48753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5420 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 48753 is about 220.8008152159. The cubic root of 48753 is about 36.5314672030.

The spelling of 48753 in words is "forty-eight thousand, seven hundred fifty-three".