48741 has 16 divisors (see below), whose sum is σ = 81408. Its totient is φ = 25200.

The previous prime is 48733. The next prime is 48751. The reversal of 48741 is 14784.

It is not a de Polignac number, because 48741 - 2³ = 48733 is a prime.

48741 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (5088).

2⁴⁸⁷⁴¹ is an apocalyptic number.

It is an amenable number.

48741 is a deficient number, since it is larger than the sum of its proper divisors (32667).

48741 is a wasteful number, since it uses less digits than its factorization.

48741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232.

The product of its digits is 896, while the sum is 24.

The square root of 48741 is about 220.7736397308. The cubic root of 48741 is about 36.5284696878.

It can be divided in two parts, 487 and 41, that added together give a triangular number (528 = T₃₂).

The spelling of 48741 in words is "forty-eight thousand, seven hundred forty-one".