48501 has 12 divisors (see below), whose sum is σ = 74412. Its totient is φ = 30336.

The previous prime is 48497. The next prime is 48523. The reversal of 48501 is 10584.

It can be written as a sum of positive squares in 2 ways, for example, as 18225 + 30276 = 135^2 + 174^2 .

It is not a de Polignac number, because 48501 - 2² = 48497 is a prime.

It is a Curzon number.

48501 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48541) 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 11 ways as a sum of consecutive naturals, for example, 6 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (6201).

2⁴⁸⁵⁰¹ is an apocalyptic number.

It is an amenable number.

48501 is a deficient number, since it is larger than the sum of its proper divisors (25911).

48501 is a wasteful number, since it uses less digits than its factorization.

48501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 48501 is about 220.2294258268. The cubic root of 48501 is about 36.4684157874.

It can be divided in two parts, 4850 and 1, that added together give a triangular number (4851 = T₉₈).

The spelling of 48501 in words is "forty-eight thousand, five hundred one".