48205 has 8 divisors (see below), whose sum is σ = 59904. Its totient is φ = 37200.

The previous prime is 48197. The next prime is 48221. The reversal of 48205 is 50284.

It is a happy number.

48205 is nontrivially palindromic in base 6.

48205 is a nontrivial binomial coefficient, being equal to C(311, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 48205 - 2³ = 48197 is a prime.

It is a Duffinian number.

48205 is a lucky number.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 310.

It is an arithmetic number, because the mean of its divisors is an integer number (7488).

2⁴⁸²⁰⁵ is an apocalyptic number.

48205 is the 310-th triangular number.

48205 is the 104-th centered nonagonal number.

It is an amenable number.

48205 is a deficient number, since it is larger than the sum of its proper divisors (11699).

48205 is a wasteful number, since it uses less digits than its factorization.

48205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 48205 is about 219.5563708937. The cubic root of 48205 is about 36.3940758382.

Adding to 48205 its reverse (50284), we get a palindrome (98489).

It can be divided in two parts, 48 and 205, that added together give a triangular number (253 = T₂₂).

The spelling of 48205 in words is "forty-eight thousand, two hundred five".