48363 has 16 divisors (see below), whose sum is σ = 76800. Its totient is φ = 27048.

The previous prime is 48353. The next prime is 48371. The reversal of 48363 is 36384.

It is not a de Polignac number, because 48363 - 2⁶ = 48299 is a prime.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48363.

It is not an unprimeable number, because it can be changed into a prime (48313) 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 15 ways as a sum of consecutive naturals, for example, 1006 + ... + 1052.

It is an arithmetic number, because the mean of its divisors is an integer number (4800).

2⁴⁸³⁶³ is an apocalyptic number.

48363 is a deficient number, since it is larger than the sum of its proper divisors (28437).

48363 is an equidigital number, since it uses as much as digits as its factorization.

48363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 57 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 48363 is about 219.9158930137. The cubic root of 48363 is about 36.4337950438.

It can be divided in two parts, 48 and 363, that multiplied together give a square (17424 = 132²).

The spelling of 48363 in words is "forty-eight thousand, three hundred sixty-three".