48385 has 4 divisors (see below), whose sum is σ = 58068. Its totient is φ = 38704.

The previous prime is 48383. The next prime is 48397. The reversal of 48385 is 58384.

48385 = 65² + 66² + ... + 74².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 25281 + 23104 = 159^2 + 152^2 .

It is a cyclic number.

It is not a de Polignac number, because 48385 - 2¹ = 48383 is a prime.

It is a super-2 number, since 2×48385² = 4682216450, which contains 22 as substring.

It is a Duffinian number.

48385 is a lucky number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (48383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4834 + ... + 4843.

It is an arithmetic number, because the mean of its divisors is an integer number (14517).

It is a Proth number, since it is equal to 189 ⋅ 2⁸ + 1 and 189 < 2⁸.

2⁴⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

48385 is a deficient number, since it is larger than the sum of its proper divisors (9683).

48385 is an equidigital number, since it uses as much as digits as its factorization.

48385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9682.

The product of its digits is 3840, while the sum is 28.

The square root of 48385 is about 219.9659064492. The cubic root of 48385 is about 36.4393187015.

Adding to 48385 its product of digits (3840), we get a palindrome (52225).

Subtracting 48385 from its reverse (58384), we obtain a palindrome (9999).

The spelling of 48385 in words is "forty-eight thousand, three hundred eighty-five".